Do's and don'ts

Do's:

Instructional strategies that can pb to modify in students' alternative conceptions (misconceptions) and to learning of new concepts and theories:

  1. Enquire students to write down their pre-existing conceptions of the material being covered. This allows you to overtly assess their preconceptions and provides them with an opportunity to run across how far their understanding has come after learning the new concepts.

  2. Consider whether student preconceptions could potentially be beneficial to their learning procedure. It is possible that preconceived notions about textile, fifty-fifty if not entirely accurate, could provide a base of operations from which to build cognition of new concepts. For example, using students' right conceptions and edifice on those by creating a bridge of examples to the new concept or theory is a beneficial strategy to help students over misconceptions.

  3. Present new concepts or theories that you are teaching in such a way that students see as plausible, high-quality, intelligible and generative.

  4. Employ model-based reasoning, which helps students construct new representations that vary from their intuitive theories.

  5. Utilise diverse teaching, wherein you present a few examples that challenge multiple assumptions, rather than a larger number of examples that challenge simply i assumption.

  6. Assistance students become aware of (heighten pupil metacognition about) their own alternative conceptions (misconceptions).

  7. Present students with experiences that cause cerebral disharmonize in students' minds. Experiences (as in strategy 3 above) that tin cause cognitive conflict are ones that become students to consider their erroneous (misconception) knowledge side-by-side with, or at the same time as, the correct concept or theory.

  8. Engage in Interactive Conceptual Teaching (ICI).

  9. Develop students' epistemological thinking, which incorporates beliefs and theories about the nature of knowledge and the nature of learning, in means that will facilitate conceptual alter. The more than naïve students' beliefs are nigh knowledge and learning, the less likely they are to revise their misconceptions.

  10. Use case studies every bit educational activity tools to farther solidify agreement of new material and reduce student misconceptions.

  11. Help students "self-repair" their misconceptions. If students appoint in a process chosen "cocky-caption," and so conceptual change is more likely (Chi, 2000). Self-caption entails prompting students to explicate text aloud as they read.

  12. One time students have overcome their alternative conceptions (misconceptions), engage them in argument to strengthen their newly acquired right cognition (representations).

Don'ts:

  1. Do not rely solely on lectures.

  2. Do not rely solely on labs or hands-on activities.

  3. Do non rely solely on demonstrations.

  4. Do not rely solely on having students simply read the text.

  5. Do non rely solely on a singular perspective when there are multiple ways to interpret cloth.

Appraise and build on preconceptions

Assessing preconcecptions

When presenting new data to students, information technology is helpful to first assess any preconceptions they have of the material. This allows the instructor to get a more than accurate reading on potential misconceptions and offers students an opportunity to see how far they have come in their understanding of newly learned concepts. For example, this tack was taken in a preliminary assessment of student knowledge when instruction students near climate change to measure:

  • Understandings of the stardom between atmospheric condition and climate.
  • Knowledge nearly the concept of "deep fourth dimension."
  • Perceptions of human-induced climate change at the commencement of the course, and later compared to perception at cease of the form.

Meet Lomardi & Sinatra (2012). Also, encounter Haudek, Kaplan, Knight, et al (2011) on how new technology involving automated text analysis helps in assessing student preconceptions in Stem.

Edifice on preconceptions

After assessing student preconceptions near material, information technology is important to consider which components of their already acquired knowledge could exist beneficial in edifice a more than robust understanding of new concepts. When students come into a class with an initial impression of the curriculum, fifty-fifty if it is inaccurate, it could be evidence of previous content coverage or a tool for priming student thinking. Though it may seem that misconceptions are only a bulwark to learning, when used properly they could serve a productive purpose in the classroom (Larkin, 2012).

Present new concepts or theories

In presenting new concepts or theories, teachers should exist sure to evidence these theories or concepts as:

  • Plausible. The new information should be shown to be consistent with other knowledge and able to explain the available data. Learners must see how the new conception (theory) is consistent with other knowledge and a good explanation of the data
  • Loftier quality. Of form, the theory/concept to be taught is of high quality from a scientific indicate of view, since it is a correct theory. Still, the presented theory should take a better account of the data than what students currently have bachelor to them. For instance, the teacher should deal with the problem from the perspective of the students (due east.k., students for whom a "flat earth" theory provides a meliorate business relationship of the data available than does a "spherical earth" theory). Hence, students must consider the quality of the new theory along with previously learned information.
  • Intelligible. Teachers should do what they can to increment the intelligibility of the new theory. Learners must be able to grasp how the new conception works. To increase intelligibility, teachers can use methods such equally:
    • Analogies (run into Chiu & Lin, 2005).
    • Models (both pictorial conceptual and physical) (Run into Mayer, 1993; Vosniadou, Ioannides, Dimitrakopoulou, & Papademetriou, 2001 for 5th and 6th graders; Cloudless, 1993 for high school students; Mayer & Gallini, 1990 for college students).
    • Straight exposition (see Klahr & Nigam, 2004).
  • Generative/fruitful. Teachers should show that the new concept/theory can be extended to open upwards new areas of inquiry. Learners must be able to extend the new conception to new areas of inquiry. Teachers might attain this past illustrating the awarding of the new concept/theory to a range of bug. These problems tin can include familiar ones and new ones.

(Encounter Chinn & Brewer, 1993; Mayer, 2008; Posner, Strike, Hewson, & Gertzog, 1982).

Bridging analogies

Ane of the best ways that teachers tin right misconceptions is by a strategy called "using bridging analogies." This strategy attempts to bridge pupils' correct beliefs (called "anchoring conceptions") to the new concept/theory (target) past presenting a series of intermediate similar or coordinating examples between the students' initial correct conception and the new concept or theory (target) to exist learned. (encounter Brown, 1992; Brown & Clement, 1989; Cloudless, 1993; Minstrell, 1982; Yilmaz, Eryilmaz, & Geban, 2006)

Using bridging analogies: continued sequence

Many loftier schoolhouse students hold a classic misconception in the area of physics, in item, mechanics. They erroneously believe that "static objects are rigid barriers that cannot exert forces." The classic target problem explains the "at residue" condition of an object. Students are asked whether a table exerts an upwardly force on a book that is placed on the table. Students with this misconception will merits that the tabular array does non push upward on a book lying at rest on information technology. However, gravity and the table exert equal, but oppositely directed forces on the book thus keeping the book in equilibrium and "at residuum." The table's force comes from the microscopic compression or bending of the tabular array. At the same time that students concur the misconception about static objects, they also believe that a jump pushes up on 1's mitt when the mitt is pushing down on the bound.

Physicists understand that these two situations — book on table and hand pressing on a spring — are equivalent. The bridging strategy establishes analogical connections betwixt situations that students initially view equally not analogous as a means to getting students to extend their valid intuitions (the spring) to initially counterintuitive target situations (the table). The use of bridging analogies entails employ of physical examples for a connected sequence, starting from an ballast (situation in which most students believe at that place is upward force), through an intermediate instance(south), to a target situation (book on table).

  1. Anchor example: paw on spring.
  2. Bridging example 1: book resting on flexible cream pad.
  3. Bridging example 2: volume resting on board.
  4. Target instance: book on table.

A similar strategy teachers can try is the use of the "bridging representation."

Using bridging analogies: representation

In physics didactics, use of the SRI (symbolic representation of interactions) diagram has been found to be helpful. SRI emphasizes forces as interactions and makes identification of the mechanical interaction between pairs of objects explicit. Information technology is assorted with the free-torso diagram that concentrates on the forces acting on ane target object. The pedagogic part of the SRI is to provide a bridge, referred to as a "bridging representation."

SRI

See Savinainen, Scott, & Viiri (2005).

Model-based reasoning

Constructive science learning often requires that students construct new representations that vary in important ways from ones used in everyday life. Science entails new ways of seeing data in terms of idealized representations or models. Scientific discipline generally entails mathematical relations, concrete intuitions and sensorimotor action schemes in these models. Teachers should teach idealization techniques, such as idea experiments and limiting case analyses. These techniques are integral to constructing abstract representations that can facilitate student recognition of deep analogies between superficially different phenomena.

A thought experiment, in the broadest sense, is the employ of a hypothetical scenario to help us empathize the way things really are. In that location are many different kinds of thought experiments. All thought experiments, notwithstanding, utilise a methodology that is a priori, rather than empirical, in that they exercise not continue by ascertainment or physical experiment. Scientists tend to utilise idea experiments in the form of imaginary, "proxy" experiments which they conduct prior to a real, "physical" experiment. In these cases, the result of the "proxy" experiment will often be so clear that there volition be no need to conduct a physical experiment at all. Scientists also utilize idea experiments when particular concrete experiments are incommunicable to behave.

Newton'south cannonball was a idea experiment that Isaac Newton used to hypothesize that the forcefulness of gravity was universal and that it was the key force for planetary motion.

Newton's cannonball

Newton's cannonball

In this experiment Newton visualizes a cannon on top of a very high mountain. If at that place was no strength of gravitation, the missive would follow a straight line away from Earth. And so long as there is a gravitational force acting on the cannon brawl, information technology will follow dissimilar paths depending on its initial velocity.

  1. If the speed is depression, it will simply fall dorsum to Earth. (A and B)
  2. If the speed equals some threshold orbital velocity, information technology will go along circumvoluted around the World in a fixed round orbit merely like the moon. (C)
  3. If the speed is higher than the orbital velocity, simply not high enough to leave World birthday (lower than the escape velocity), it will proceed rotating around Earth along an elliptical orbit. (D)
  4. If the speed is very loftier, it will indeed exit Globe. (E)

Diverse educational activity

Diverse education simultaneously challenges at to the lowest degree two erroneous beliefs that underlie a misconception (culling conception). It is based on a literature that shows adults and children draw stronger inductive inferences from information that impacts diverse aspects of their underlying beliefs (see Hayes, Goodhew, Heit, & Gillan, 2003, for review). Hayes et al. extend the diverseness principle to conceptual alter and advise that shifts in intuitive theories or alternative conceptions (misconceptions) are more likely to occur when people encounter new data that challenges several features or assumptions of these models. Conceptual change is more likely if students are presented with a few examples that challenge multiple assumptions, rather than with a larger number of examples that challenge just one supposition.

In an illustration of diverse teaching, an inquiry-based 5E (engage, explore, explain, extend and evaluate) learning model that incorporates unlike educational activity styles to engage students with varying learning modalities has been tried with educatee misconceptions (Ray & Beardsley, 2008). Inside this model, misconceptions can provide a basis for hypothesis testing that encourage exploration of previously held beliefs and build more accurate understanding of complicated processes. This further advocates for diversifying instruction to uncover student strengths and utilise preconceptions as a basis for deeper academic inquiry.

Instance: shape of the world

The effect of diverse instructional strategies on children's agreement of the shape of the globe has been studied (Hayes et al., 2003). Children's erroneous behavior about the earth (their nonbelief in a spherical earth) can be linked to ii more than general misconceptions (Vosniadou & Brewer, 1992). One is the conventionalities that the world appears flat to an observer on the ground. The 2nd is a poor understanding of gravity and failure to understand the influence of gravity on objects located on different parts of the globe's surface. Indeed, in because the earth's surface, when students remember that unsupported objects fall, they are likely to construct either a "disk" model of the earth or a "dual globe" model (with a circular earth located in infinite co-existing with a flat world where people live).

In the report, half-dozen-year-one-time children were randomly assigned to ane of 3 weather condition: control (no training); single-belief training (all 4 instructional videos focused on either the relative size of the earth or the effects of gravity); or dual-conventionalities training (four instructional videos where two focused on the relative size of the earth and 2 focused on the effects of gravity). Results showed that only children receiving educational activity nigh two core beliefs showed an increased rate of credence of a spherical earth model at post-test time.

Pupil metacognition

Student metacognitive abilities may be disquisitional to achieving conceptual change (Beeth, 1998; Beeth & Hewson, 1999; Case, 1997; Chinn & Brewer, 1993; Gelman & Lucariello, 2002; Inagaki & Hatano, 2002; Minstrell, 1982,1984). Metacognition entails a range of processes, including monitoring, detecting incongruities or anomalies, self-correcting, planning and selecting goals, and reflecting on the structure of one's cognition and thinking (Gelman & Lucariello, 2002).

Several skillful methods help students think metacognitively:

  • Engage students in representing their thinking through interactive word and open exchange and contend of ideas.
    To aid students increment their metaconceptual awareness (awareness of their own knowledge), it is of import to create learning environments that make it possible for them to express their knowledge, including misconception knowledge. This can be done in environments that facilitate group give-and-take and the verbal expression and debate of ideas. The learning environment should allow for students to limited their knowledge and compare it with those of others. Such activities assist students in condign aware of what they know and what they need to learn.

    (Come across Kuhn, 2006: Minstrell, 1982, 1989; Savinainen & Scott, 2002; Vosniadou et al., 2001)

  • Elicit student predictions on the topic, followed by a instructor-led demonstration that tests those predictions. Give-and-take works towards arriving at a common observation and and so reconciles differences between prediction and observation.
    Go on in mind that students (or anyone) can exist biased by the ideas (in this instance, misconceptions) they already take when observing things. As such, this can actually interfere with observing events correctly. Chinn & Malhotra (2002) have noticed "theory bias at the observation stage." For case, only about 26 per centum of children correctly predicted that a heavy and low-cal rock would hit the ground at the same time (cited in Mayer 2008). An of import point is to make the data (to exist observed) so obvious that information technology minimizes incorrect observations by students (Mayer, 2008).

    (See Kuhn, 2006; Champagne, Gunstone, & Klopfer, 1985; Gunstone, Robin Grey, & Searle, 1992: Use of Predict-Discover-Explicate (P-O-Eastward); Mayer, 2008; Minstrell, 1982)

  • Provide opportunities for reflective research and cess (White & Frederickson, 1998).
    White and colleagues designed a computer-based micro-world "Thinker Tools" (TT)(1993; White & Frederiksen, 1998). This is a eye school scientific discipline curriculum that engages students in learning about and reflecting on the processes of science inquiry as they construct increasingly complex models of force and motion phenomena. The TT inquiry curriculum centers around a metacognitive model of research, called the inquiry bicycle, and a metacognitive procedure, called reflective cess, in which students reverberate on their own and each other's research strategies.

Predict-discover-explain didactics strategy

In the "predict-detect-explicate" (P-O-E) strategy, the teacher plans/presents a demonstration or example that due south/he will subsequently comport/explicate. The topic or issue of the sit-in or example should be one that relates to possible educatee misconceptions and the pattern of the demonstration/example should be to elicit such misconceptions. Before conducting the demonstration, pupils predict what will occur. The teacher and then conducts the sit-in (explicates the illustration/example) and the students observe this. After the demonstration (illustrative example), the students must explain why their observations conflicted with their predictions.

The P-O-E strategy does not entail the traditional hands-on laboratory work washed by students themselves. When the teacher does the demonstration, it allows students to focus more of their intellectual resources on the conceptual issues at hand, including making predictions.

Inquiry cycle

The inquiry cycle guides students' enquiry and helps them understand what the research process is all about.

  1. It begins with formulating an investigable question.
  2. It moves to a predict phase, wherein students generate culling hypotheses and predictions with respect to the question.
  3. Side by side comes the experiment phase, wherein students pattern and acquit-out experiments in the existent world and on the computer.
  4. Students so move to the model phase, wherein they analyze their data to construct a conceptual model that includes scientific laws that would predict and explain their findings.
  5. Finally, comes the apply phase, wherein students use their model to different situations to investigate the model's utility and limitations. This raises new questions in the process and the bicycle begins once again.

Students go through the inquiry bike for each research topic in the curriculum. They engage in reflective assessment at each step in the enquiry cycle and after each completion of the cycle.

The cogitating cess component provides students with "criteria for judging research":

  • Goal-oriented criteria, such as "understanding the science."
  • Process-oriented criteria, such as "being systematic" and "reasoning carefully."
  • Socially-oriented criteria, such equally "communicating well."

Three teachers in 12 urban classes (across grades seven to 9) implemented the TT curriculum. The sample included many low-achieving and disadvantaged students. Findings testify that the reflective assessment component greatly facilitated student learning.

Cognitive conflict

The idea that cerebral disharmonize or disequilibrium can lead to learning is rooted in Piagetian theory. Piaget proposed that cognitive disharmonize or "disequilibrium" arises when students encounter experiences that they are not able to assimilate or that are incongruous with their current cognitive structures/conceptions. Cognitive disharmonize can lead to conceptual alter or accommodation of current cognitive concepts.

There are a variety of ways that teachers generate cognitive conflict in the mind of the student:

  • Present students with anomalous data (information that practise non accordance with their misconception).
    This strategy is thought to be a major means of eliciting cognitive conflict and getting students to change or abandon their electric current erroneous theories and adopt new ones. Still, just presenting anomalous data is not sufficient. Students take been found to ignore or reject such data, profess dubiety well-nigh their validity, and reinterpret the data, amid other things (Chinn & Brewer, 1998). There are certain optimal ways to represent such data.

  • Present students with refutational texts (texts wherein a misconception is explicitly refuted by presenting contrasting information).
    Present refutational texts lone or in combination with discussion, conducted under teacher guidance. The word, which tin occur between peers, should require students to articulate and support their views with prove from the text.

    A refutational text introduces a mutual misconception, refutes it, and offers a new (alternative) theory that proves to exist more than satisfactory. In this way, refutational texts are a means to create cognitive conflict. The following text from Hynd (2001) is an example of refutational text:

    "Despite the fact that many people call back that a rolling ball volition slow or terminate on its own, this will not happen... Moving objects will continue moving at a abiding rate unless they are slowed or stopped, or their direction is changed because of an outside force such as friction." (See Diakidoy, Kendeou, & Ioannides, 2003; Guzzetti, Snyder, Glass, & Gamas, 1993; Guzzetti, 2000; Hynd, 2001; Maria & MacGinitie, 1987).

  • Present students with text that presents the new theory or concept.
    At the same time utilize teacher strategies or activities that elicit the students' misconceptions such that they consider the conflict between the 2.

  • Conduct conceptual change discussions.

All-time ways to present dissonant data

Of course, students might non take the anomalous or contradictory information and therefore not change their minds. Teachers can increase the chances of dissonant data beingness accustomed and leading to conceptual change past:

  • Making the anomalous data credible. This can exist done in a few ways. Teachers can make information technology clear that the information were collected according to accepted principles. In addition, live demonstrations and easily-on experiences may also increment the brownie of the dissonant data. Too teachers can appeal to real-world data that students already know well-nigh (equally in the employ of anchoring conceptions every bit described before in the bridging analogies strategy word)

  • Avoiding ambiguous data. Choose data that are perceptually obvious. Likewise, if teachers are enlightened of the specific misconceptions their students have, they tin choose data, in lite of that, that will be unambiguous to their students

  • Presenting multiple lines of data when necessary. In presenting dissonant data, unmarried experiments are oftentimes not disarming. Hence, introducing multiple lines of data, such every bit use of a series of experiments, should be helpful. If using a single experiment/demonstration, it is useful to be prepared to accost student objections effectively

  • Introducing the anomalous data early in the instructional process. This might be helpful because it appears that the more background noesis in the topic students possess the more than their misconceptions impede the acceptance of anomalous information

  • Engaging students in justification of their reasoning about the anomalous data.(Meet Chinn & Brewer 1993 and Posner et al., 1982)

Activities to produce cognitive conflict

Some activities that produce cognitive conflict when used in combination with text are:

  • Augmented activation activities. This activeness has two components. Ane is the activation activity designed to activate or bring to students' attention their misconception knowledge (east.g., by request them to call up or reiterate their belief; by reminding them of their belief). The 2d is directing the reader's attention to contradictory information in the text or providing illustrative demonstrations that are incongruous with the misconception. This instructional strategy is similar to the Socratic teaching method and involves students in dialogues that hogtie them to handle counterexamples and confront contradictions to their misconceptions.
  • The Discussion Web. This is a word strategy led by teacher. It tin can entail using a graphic help to course students' positions around a central question. Students are required to take a opinion (eastward.chiliad., on the shape of the world), defend their positions, and persuade each other with bear witness from the text. Direct questioning helps students rethink their prior conceptions.
  • Think sheets. This is a written contrast of student-generated and text-generated ideas of a concept posed as a primal question. It is a text-based action that contrasts learners' preconceptions to scientific conceptions from text. Learners then self-monitor their prior knowledge in low-cal of information from the text and from the discussion.

(Run into Guzzetti, 2000; Guzzetti et al., 1993; Hynd, 2001.)

Protocol for conceptual change discussion

From Eryilmaz (2002)

The conceptual assignments were chosen as topics for the discussions for all groups. Discussions were held according to the following guidelines that were provided to the teachers:

  1. Use the conceptual question as an exposing event that helps students expose their conceptions about a specific concept or rule.
  2. Allow all students to make their own conceptions or hypotheses explicit (verbally and pictorially).
  3. Ask what students believe or think about the phenomena and why they remember and so.
  4. Write or draw students on the blackboard even if they are non correct.
  5. Be neutral doing the discussion. If i or some students give the correct reply, accept it as another suggestion and play the devil's advocate.
  6. Be patient. Give enough time to the students to recall and respond to the questions.
  7. Ask only descriptive questions in this function to understand what students actually think most the phenomena.
  8. Try to get more students involved in the discussion by asking questions of each educatee.
  9. Assistance students in stating their ideas conspicuously and concisely, thereby making them aware of the elements in their own preconceptions.
  10. Encourage confrontation in which students fence the pros and cons of their different preconceptions and increment their awareness and understanding of the differences between their own preconceptions and those of their classmates.
  11. Encourage interaction among students.
  12. Create a discrepant event, ane that creates disharmonize between exposed preconceptions and some observed phenomenon that students cannot explain.
  13. Let students become aware of this disharmonize: cognitive dissonance, conceptual conflict, or disequilibrium.
  14. Help students to arrange the new ideas presented to them. The teacher does not bring students the message, but she or he makes them aware of their situation through dialogue.
  15. Brand a brief summary from beginning to the stop of word.
  16. Evidence explicitly where oversimplification, exemplification, association, and multiple representations take happened, if whatsoever. If not, give exemplification, associations with other topics, and multiple representations for the topic.
  17. Requite students a feeling of progress and growth in mental power, and help them develop conviction in themselves and their abilities.

Interactive conceptual instruction (ICI)

Interactive conceptual instruction (ICI), described and studied by Savinainen & Scott (2002), incorporates several key pedagogical aspects:

  • Utilise of interactive approaches that entail ongoing teacher-student dialogue, which focuses on developing conceptual understandings and wherein students accept the opportunity to talk through their understandings with the support of the teacher.
  • Teacher use of research-based instruments (questionnaires/assessments/ inventories) that afford quick and detailed formative assessments of students' noesis in a subject-expanse.
  • Teachers' development of a detailed map of the conceptual terrain of the subject field, including knowledge of the canonical information in the subject, educatee misconceptions and the representations (understandings) between these two.

Develop student thinking well-nigh knowledge and learning

Conceptual change is facilitated if students view knowledge as:

  • Circuitous (not uncomplicated).
  • Uncertain and evolving (not stable and accented).

Conceptual change is facilitated if students view learning as:

  • A gradual, slow process (not as "quick or not at all").
  • An ability that is improvable (malleable) (non stock-still or unmodifiable).

Conceptual change is likewise facilitated by addressing students' epistemologies about specific domains.

For example, with respect to science, having students reflect on the nature of scientific discipline (meet Smith, Maclin, Houghton, & Hennessey, 2000) and on the criteria that characterize practiced inquiry facilitate conceptual change in science.

(See Mason, 2002, for review.)

Engage argument to strengthen newly acquired correct knowledge

Engaging in argument may be a central way that a student's new conceptual system becomes strengthened and overtakes a educatee's alternative conceptions (misconceptions). Argument entails request students to evaluate or debate the adequacy of a new organization with competing culling conceptions (misconceptions). Students, fifty-fifty in the uncomplicated school years, are sensitive to many of the features that make for a good concept/theory, such as plausibility, fruitfulness and explanatory coherence.

Children really seem to prefer accounts that explicate more, are not ad hoc, are internally consequent, and fit the empirical data (Samarapungavan, 1992).

(See Commission on Scientific discipline Learning, Kindergarten through Eighth Grade, 2007. Come across also Duschl & Osborne, 2002, for how to support and promote argumentation blazon discourse.)

Utilize instance studies

The event of using case studies in teaching chemistry on student understanding of the material and their level of misconceptions after being exposed to the new content has been studied (Ayyldz & Tarhan, 2013). Students who received instruction that included example studies rather than a traditional lecture format demonstrated higher knowledge and fewer misconceptions through achievement test scores. These case studies were "existent world" scenarios with accompanying references that required explanation through backdrop learned in the chemistry classroom.

For instance, students may be asked to explicate how it is possible for a fly to walk on water but information technology is not possible for a homo to do the same. Rather than simply request about comparison the density of liquids and solids, this offered students the opportunity to apply the concepts and build a more than robust grasp of the cloth. This suggests that teaching students new cloth through the use of case studies tin lead to greater agreement of the material and preclude hereafter misconceptions.

Why and how practise these teaching strategies work?

Students do not come to school equally blank slates to be filled by instruction. Children are active cognitive agents who arrive at schoolhouse afterwards years of cognitive growth (Committee on Science Learning, Kindergarten through Eighth Grade, 2007). They come to the classroom with considerable knowledge based on intuitions, every 24-hour interval experiences, or what they have been taught in other contexts. This pre-instructional knowledge is referred to as preconceptions. Since a considerable amount of our cognition is organized past subject area areas, such as mathematics, scientific discipline, etc., so also are preconceptions.

It is important for teachers to know about the preconceptions of their students because learning depends on and is related to pupil prior knowledge (Bransford, Brown, & Cocking, 2000; Gelman & Lucariello, 2002; Piaget & Inhelder, 1969; Resnick, 1983). We interpret incoming information in terms of our current knowledge and cerebral organizations. Learners try to link new information to what they already know (Resnick, 1983). This kind of learning is known as assimilation (Piaget & Inhelder, 1969). When new information is inconsistent with what learners already know information technology cannot exist assimilated. Rather, the learner's knowledge will have to change or be contradistinct considering of this new information and experience. This kind of learning is known as accommodation (of knowledge/mental structures).

Whether learning is a affair of assimilation or adaptation depends on whether pupil preconceptions are anchoring conceptions or alternative conceptions (misconceptions), respectively. Student preconceptions that are consistent with concepts in the assigned curriculum are anchoring conceptions. Learning, in such cases, is a thing of assimilation or conceptual growth. It consists in enriching or calculation to student knowledge. Assimilation is an easier kind of learning because prior cognition does non interfere with learning. Rather, prior noesis is a base the learner can rely on to build new knowledge.

Civilisation can have a considerable touch on students' preconceptions almost fabric, as the world in which they live provides a meaning-making lens for what they learn in school. Some students may find that they are able to balance new information and experiences with those that they have already incorporated into their life by being "cultural straddlers" (Carter, 2006). For other students who have more difficulty achieving this balance, it may be that more directed piece of work is necessary to aid them sympathise concepts that are more than foreign to them at the time of their teaching.

Student preconceptions that are inconsistent with, and even contradict, concepts in the curriculum, are alternative conceptions or misconceptions (or intuitive theories). Intuitive theories are very typical and children and adults possess them. They develop from the natural effort to make sense of the world around united states of america. For instance, the "distance theory" (a misconception) that explains seasonal/temperature alter in terms of unlike distances between the Globe and the Lord's day in summer and winter could easily develop from one's everyday experience with heat sources (Kikas, 2004). Sometimes even textbooks themselves can exist the crusade of culling theories. For example, a diagram of the globe's orbit normally used in textbooks presents a stretched-out ellipse (although information technology more closely resembles a circle) that can contribute to the erroneous "altitude theory" of seasonal modify (Kikas, 1998). Hence, intuitive theories or misconceptions are not a reflection of a cognitively deficient child. Rather, they reflect a child with a cognitively agile mind, who has already achieved considerable complex and abstruse knowledge. Indeed, immature children are non limited to physical reasoning. Nor should they be viewed equally a bundle of misconceptions.

Alternative conceptions (misconceptions) interfere with learning for several reasons. Students use these erroneous understandings to translate new experiences, thereby interfering with correctly grasping the new experiences. Moreover, misconceptions tin can be entrenched and tend to be very resistant to instruction (Brewer & Chinn, 1991; McNeil & Alibali, 2005). Hence, for concepts or theories in the curriculum where students typically take misconceptions, learning is more challenging. Information technology is a matter of accommodation. Instead of merely adding to student knowledge, learning is a matter of radically reorganizing or replacing pupil cognition. Conceptual alter or accommodation has to occur for learning to happen (Carey, 1985; 1986; Posner et al., 1982; Strike & Posner, 1985, 1992). Teachers will need to bring virtually this conceptual modify.

According to conceptual change theory, learning involves three steps (see Mayer, 2008 for summary):

  1. Recognizing or detecting an anomaly. This refers to becoming aware that your current mental model (representation or theory or conception) is inadequate to explain observable facts. The student must realize that he/she has a misconception(s) that must be discarded or replaced
  2. Amalgam a new model. This entails finding a better, more sufficient model that is able to explicate the observable facts. Information technology involves the students' replacing one model with another
  3. Using a new model. This refers to students using the new model to find a solution when presented with a trouble. This reflects an power to solve problems with the new model.

Hence mental models (representations of theories or concepts) are at the core of conceptual-modify theory. For example, yous are using a mental model when you think of the globe as hollow.

Traditional methods of instruction used in isolation, such as lectures, labs, discovery learning or simply reading text have not been found to be effective at achieving conceptual alter (Chinn & Brewer, 1993; Kikas, 1998; Lee, Eichinger, Anderson, Berkheimer, & Blakeslee, 1993; Roth, 1990; Smith, Maclin, Grosslight, & Davis, 1997). Recommended culling teaching strategies are included in this module.

FAQs

Is it normal for students to take misconceptions? Practise almost students have them?

Yes, it is very typical for students to have misconceptions. They are acquired or formed through everyday experiences, through instruction on other topics, and because some concepts are very circuitous to primary.

Are at that place typical common misconceptions that students have in different academic subjects?

Yes, there are typical misconceptions that students have in the different subjects, such as math and scientific discipline. Being aware of the typical misconceptions students take in these discipline areas can help you focus your instruction to address the nearly common misconceptions.

Are these strategies to correct student misconceptions applicable to all children?

These strategies are general enough to be effective with nearly children. However, various strategies are optimally appropriate and effective at specific grade levels. Moreover, a instructor should use his or her judgment near which strategies might be most effective, given the particular students in the class. For example, for students that take linguistic communication difficulties (eastward.g., difficulty reading and processing text and articulating thoughts verbally) the teacher might rely more than on the less-verbal strategies (eastward.1000., use of bridging analogies) with those students.

When exercise practise these recommendations work?

Age

Well-nigh all these recommendations can be used with students from the elementary grades (beginning at around 5th Form) through high school. In the case of using bridging analogies (recommendation #two), this strategy is most suitable for high schoolhouse students.

Private differences

We know very footling well-nigh how these recommendations might vary by gender or ethnicity. There is skilful reason to believe, however, that most, if not all, of these recommendations would exist generally successful with nearly students. The little research that has been conducted with different sub-groups of children and youth suggests that these strategies would be comparably effective with low-achieving children (as well as with amend performing children).

Contextual factors

We know very lilliputian nearly how these recommendations might vary by contextual factors, such as for children living in poverty and different kinds of family constellations. We practise know that misconceptions are quite universal. There is skilful reason to believe, nevertheless that most, if not all, of these recommendations for getting students over their misconceptions would be more often than not successful with most students. The little research that has been done with 7th through ninth grade urban classes that had many disadvantaged students suggests that these strategies would be effective for depression-SES children. There is no reason to believe that family variables would play whatever role in the effectiveness of these strategies.

Where can teachers go more data?

Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school. Washington, DC: National Academies Press.

Brown, J. S., & Burton, R. R. (1978). Diagnostic models for procedural bugs in basic mathematical skills. Cognitive Scientific discipline, 2, 155-192.

Committee on Science Learning, Kindergarten through Eighth Course. (2007). Taking science to schoolhouse: Learning and teaching science in grades M-8. Washington, DC: National Academies Press.

Duschl, R., & Osborne, J. (2002). Supporting and promoting argumentation discourse. Studies in Science Teaching, 38, 39-72.

Eryilmaz, A. (2002). Effects of conceptual assignments and conceptual modify discussions on students' misconceptions and accomplishment regarding force and motion. Journal of Research in Science Educational activity, 39, 1001-1015.

Guzzetti, B. J., Snyder, T. East., Drinking glass, 1000. V., & Gamas, Due west. S. (1993). Promoting conceptual change in science: A comparative meta-analysis of instructional interventions from reading education and science education. Reading Research Quarterly, 28, 116-159.

Haudek, Kevin C., Kaplan, Jennifer J., Knight, Jennifer, Long, Tammy, Merrill, John, Munn, Alan, ... Urban-Lurain, Mark. (2011). Harnessing Technology to Improve Formative Assessment of Student Conceptions in Stalk: Forging a National Network. CBE - Life Sciences Instruction, (2), 149-155.

Hayes, B. K., Goodhew, A., Heit, E., & Gillan, J. (2003). The part of various instruction in conceptual change. Journal of Experimental Kid Psychology, 86, 253-276.

Hynd, C. R. (2001). Refutational texts and the change process. International Journal of Educational Research, 35, 699-714.

Mayer, R. E. (2003). Learning and pedagogy. Upper Saddle River, NJ: Pearson Education, Inc.

Mayer, R. E. (2008). Learning and instruction (2nd ed.). Upper Saddle River, NJ: Pearson Pedagogy, Inc.

Minstrell, J. (1982). Explaining the "at rest" condition of an object. The Physics Teacher, 20, ten-14.

Posner, G. J., Strike, K. A., Hewson, P. W., & Gertzog, W. A. (1982). Accommodation of a scientifc formulation: Toward a theory of conceptual change. Science Teaching, 66, 211-227.

Resnick, L. B. (1983). Mathematics and science learning: A new conception. Scientific discipline, 220, 477-478.

Siegler, R. S. (2003). Implications of cognitive science research for mathematics teaching. In J. Kilpatrick, West. B. Martin, & D. East. Schifter (Eds.), A enquiry companion to principles and standards for schoolhouse mathematics (pp. 219-233). Reston, VA: National Council of Teachers of Mathematics.

References

Alexander, P. A. (2006). Psychology in learning and instruction. Upper Saddle River, NJ: Pearson Educational activity, Inc.

Arnaudin, M., & Mintzes, J. (1985). Students' alternative conceptions of the human circulatory arrangement: A cross-age study. Science Education, 69(5), 721-733.

Arnaudin, M., & Mintzes, J. (1986). The cardiovascular system: Children's conceptions and misconceptions. Scientific discipline and Children, 23(v), 48-51.

Atwood, R. K., & Atwood, Five. A. (1996). Preservice elementary teachers' conceptions of the causes of seasons. Journal of Research in Science Educational activity, 33(v), 553-563.

Ayyldz, Y., & Tarhan, L. (2013). Example study applications in chemistry lesson: Gases, liquids, and solids. Chemistry Didactics Inquiry and Practice, fourteen(4), 408-420.

Baxter, J. (1995). Children'south understanding of astronomy and Earth sciences. In S. Grand. Glynn & R. Duit (Eds.), Learning science in the schools (pp. 155-178). Mahwah, NJ: Erlbaum.

Beeth, Yard. E. (1998). Teaching science in fifth grade: Instructional goals that support conceptual modify. Journal of Research in Science Education, 35(x), 1091-1101.

Beeth, M. E., & Hewson, P. Westward. (1999). Learning goals in an exemplary science teacher's practice: Cognitive and social factors in educational activity for conceptual change. Scientific discipline Education, 83(6), 738-760.

Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and schoolhouse. Washington, DC: National Academy Press.

Brewer, W. F., & Chinn, C. A. (1991). Entrenched behavior, inconsistent information, and knowledge change. In L. Birnbaum (Ed.), The International Conference of the Learning Sciences: Proceedings of the 1991 conference (pp. 67-73). Charlottesville, VA: Association for the Advancement of Computing in Education.

Chocolate-brown, D. E. (1992). Using examples and analogies to remediate misconceptions in physics: Factors infuencing conceptual change. Journal of Research in Science Teaching, 29(1), 17-34.

Chocolate-brown, D. East., & Clement, J. (1989). Overcoming misconceptions via analogical reasoning: Abstract transfer versus explanatory model construction. International Science, 18, 237-261.

Brown, J. S., & Burton, R.R. (1978). Diagnostic models for procedural bugs in bones mathematical skills. Cognitive Science, ii, 155-192.

Burgoon, Jacob N., Heddle, Mandy Fifty., & Duran, Emilio. (2010). Re-Examining the Similarities between Instructor and Student Conceptions well-nigh Physical Scientific discipline. Journal of Scientific discipline Teacher Pedagogy, (7), 859-872.

Carey, S. (1985). Conceptual change in childhood. Cambridge, MA: MIT Printing.

Carey, South. (1986). Cognitive science and scientific discipline education. American Psychologist, 41, 1123-1130.

Carter, Prudence L. (2006). Straddling Boundaries: Identity, Culture, and School. Folklore of Didactics, 79(iv), Vol.79(four), p.304.

Case, R. (1997). The development of conceptual structures. In D. Kuhn & R. S. Siegler (Eds.), Handbook of kid psychology (Vol two): Perception, cognition, and linguistic communication (pp. 745-800). New York: Wiley.

Champagne, A. B., Gunstone, R. F., & Klopfer, L. E. (1985). Effecting changes in cerebral structures amid physics students. In H. T. W & A. L. Pines (Eds.), Cerebral structure and conceptual change (pp. 61-90). Orlando, FL: Academic Press.

Chi, M. T. H. (1992). Conceptual change inside and across ontological categories: Implications for learning and discovery in science. In R. Giere (Ed.), Minnesota studies in the philosophy of science (Vol XV): Cognitive models of science (pp. 129-186). Minneapolis, MN: University of Minnesota Press.

Chi, M. T. H. (2000). Cocky-explaining: The dual processes of generating inference and repairing mental models. In R. Glaser (Ed.), Advances in instructional psychology (Vol 5): Educational design and cognitive science (pp. 161-238). Mahwah, NJ: Erlbaum.

Chi, M. T. H. (2005). Commonsense conceptions of emergent processes: Why some misconceptions are robust. The Journal of the Learning Sciences, xiv, 161- 199.

Chinn, C. A., & Brewer, West. F. (1993). The role of anomalous data in knowledge conquering: A theoretical framework and implications for science instruction. Review of Educational Enquiry, 63, 1-49.

Chinn, C. A., & Brewer, W. F. (1998). An empirical test of a taxonomy of responses to anomalous data in scientific discipline. Journal of Research in Science Teaching, 35(6), 623-654.

Chinn, C. A., & Malhotra, B. A. (2002). Children's responses to dissonant scientific data: How is conceptual alter impeded? Journal of Educational Psychology, 94(2), 327-343.

Chiu, M. H., & Lin, J. W. (2005). Promoting 4th graders' conceptual change of their understanding of electrical current via multiple analogies. Journal of Research in Science Educational activity, 42(4), 429-464.

Clement, J. (1982). Students' preconceptions in introductory mechanics. American Journal of Physics, 50(1), 66-71.

Committee on Science Learning, Kindergarten through Eighth Class (2007). Taking scientific discipline to school: Learning and teaching scientific discipline in grades Yard-8. Washington, DC: National Academies Press.

Diakidoy, I. A., Kendeou, P., & Ioannides, C. (2003). Reading near energy: The furnishings of text structure in science learning and conceptual change. Contemporary Educational Psychology, 28(3), 335-356.

Duschl, R., & Osborne, J. (2002). Supporting and promoting argumentation discourse. Studies in Science Pedagogy, 38, 39-72.

Eryilmaz, A. (2002). Effects of conceptual assignments and conceptual change discussions on students' misconceptions and achievement regarding strength and motion. Journal of Research in Science Instruction, 39(ten), 1001-1015.

Falkner, K. P., Levi, 50., & Carpenter, T. P. (1999). Children'due south understanding of equality: A foundation for algebra. Teaching Children Mathematics, half-dozen(4), 232-236.

Fischbein, E., Deri, M., Nello, M., & Marino, M. (1985). The role of implicit models in solving verbal problems in multiplication and division. Journal for Enquiry in Mathematics Education,xvi, 3-17.

Gelman, R., & Lucariello, J. (2002). Role of learning in cognitive development. In H. Pashler (Series Ed.) & C. R. Gallistel (Vol. Ed.), Stevens' handbook of experimental psychology: Vol. 3. Learning, motivation, and emotion (tertiary ed., pp. 395- 443). New York: Wiley.

Goulding, M., Rowland, T., & Hairdresser, P. (2002). Does it affair? Main teacher trainees' subject cognition in mathematics. British Educational Enquiry Journal, 28(5), 689-704.

Gunstone, R. F., Robin Gray, C. M., & Searle, P. (1992). Some long-term furnishings of uninformed conceptual modify. Scientific discipline Didactics, 76(two), 175-197.

Guzzetti, B. J. (2000). Learning counter-intuitive scientific discipline concepts: What accept we learned from over a decade of enquiry? Reading & Writing Quarterly, xvi(2), 89-98.

Guzzetti, B. J., Snyder, T. E., Drinking glass, G. V., & Gamas, Due west. S. (1993). Promoting conceptual change in scientific discipline: A comparative meta-analysis of instructional interventions from reading education and scientific discipline teaching. Reading Research Quarterly, 28, 116-159.

Hartnett, P., & Gelman, R. (1998). Early understandings of numbers: Paths or barriers to the construction of new understandings? Learning and Educational activity, 8(four), 341-374.

Hatano, G., Siegler, R. Due south., Richards, D. D., Inagaki, M., Stavy, R., & Wax, Due north. (1997). The development of biological noesis: A multi-national study. Cerebral Development, 8, 47-62.

Hayes, B. Thousand., Goodhew, A., Heit, East., & Gillan, J. (2003). The role of diverse instruction in conceptual change. Journal of Experimental Kid Psychology, 86, 253-276.

Hynd, C. R. (2001). Refutational texts and the modify procedure. International Journal of Educational Research, 35(7), 699-714.

Inagaki, Chiliad., & Hatano, One thousand. (2002). Young children'southward naïve thinking virtually the biological world. New York: Psychology Press.

Keil, F. C. (1979). Semantic and conceptual evolution: An ontological perspective. Cambridge, MA: Harvard University Press.

Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12, 317-326.

Kieran, C. (1992). The learning and education of school algebra. In D. A. Grouws (Ed.), Handbook of inquiry on mathematics teaching and learning (pp. 390- 419). New York: Macmillan.

Kikas, E. (1998). The impact of teaching on students' definitions and explanations of astronomical phenomena. Learning and Education, 8(5), 439-454.

Kikas, E. (2003). University students' conceptions of dissimilar physical phenomena. Journal of Adult Development, 10(three), 139-150.

Kikas, E. (2004). Teachers' conceptions and misconceptions apropos three natural phenomena. Journal of Research in Science Teaching, 41, 432-448.

Klahr, D. & Nigam, M. (2004). The equivalence of learning paths in early on science didactics: Effects of direct educational activity and discovery learning. Psychological Science, 15, 661-667.

Knuth, E. J., Alibali, M. W., McNeil, North. Yard., Weinberg, A., & Stephens, A. C. (2005). Eye schoolhouse students' understanding of core algebraic concepts: Equivalence and variable. International Journal of Mathematics Teaching, 37, ane-nine.

Kuchemann. (1978). Children's understanding of numerical variables. Mathematics in School, 7(4), 23-26.

Kuhn, D. (2006). Do children and adults learn differently? Journal of Cognition and Evolution, vii, 279-293.

Larkin, Douglas. (2012). Misconceptions about "Misconceptions": Preservice Secondary Scientific discipline Teachers' Views on the Value and Role of Pupil Ideas. Scientific discipline Education, (5), 927-959.

Lee, O., Eichinger, D. C., Anderson, C. W., Berkheimer, G. D., & Blakeslee, T. D. (1993). Changing centre schoolhouse students' conceptions of matter and molecules. Journal of Research in Scientific discipline Education, 30(3), 249-270.

Lombardi, Doug, & Sinatra, Gale M. (2012). College Students' Perceptions about the Plausibility of Human being-Induced Climate change. Research in Science Educational activity, (2), 201-217.

MacGregor, Grand., & Stacey, K. (1997). Students' understanding of algebraic notation: xi-15. Educational Studies in Mathematics, 33, 1-19.

Maria, M., & MacGinitie, W. (1987). Learning from texts that abnegate the reader's prior knowledge. Reading Inquiry and Education, 26, 222-238.

Mason, L. (2002). Developing epistemological thinking to foster conceptual alter in different domains. In M. Limon & L. Bricklayer (Eds.), Reconsidering conceptual modify: Issues in theory and practice (pp. 301-335). Netherlands: Kluwer Academic Publishers.

Mason, K., & Ruddock, Grand. (1986). Decimals. Windsor, Ontario, Canada: APU/NFER-Nelson.

Mayer, R. E. (1993). Illustrations that instruct. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 4, pp. 253-284). Hillsdale, NJ: Erlbaum.

Mayer, R. Eastward. (2008). Learning and education (2nd ed.) . Upper Saddle River, NJ: Pearson Education, Inc.

Mayer, R. East., & Gallini, J. K. (1990). When is an illustration worth ten thousand words? Journal of Educational Psychology, 82(4), 715-726.

McCloskey, M. (1983). Intuitive physics. Scientific American, 248(iv), 122-130.

McCloskey, M., Caramazza, A., & Green, B. (1980). Curvilinear move in the absenteeism of external forces: Naïve beliefs about the move of objects. Science, 210, 1139-1141.

McNeil, N. M., & Alibali, M. W. (2005). Why won't y'all modify your mind? Noesis of operational patterns hinders learning and performance on equations. Child Evolution, 76, 883-899.

Minstrell, J. (1982). Explaining the "at rest" status of an object. The Physics Instructor, 20, 10-14.

Minstrell, J. (1984). Didactics for the development of agreement of ideas: Forces on moving objects. In C. West. Anderson (Ed.), Observing classrooms: Perspectives from inquiry and practise (pp. 67-85). Columbus, OH: Ohio Country Academy.

Minstrell, J. (1989). Teaching science for understanding. In 50. B. Resnick & L. E. Klopfer (Eds.), Toward the thinking curriculum: Electric current cognitive research (pp. 129-149). Alexendria, VA: Association for Supervision and Curriculum Evolution.

Nunes, T., & Bryant, P. (Eds.). (1996). Children doing mathematics. Oxford: Blackwell.

Ojala, J. (1997). Lost in space? The concepts of planetary phenomena held past trainee primary school teachers. International Research in Geographical and Environmental Education, 6, 183-203.

Pelaez, Northward. J., Boyd, D. D., Rojas, J. B., & Hoover, One thousand. A. (2005). Prevalence of claret circulation misconceptions amid prospective elementary teachers. Advances in Physiology Education, 29, 172-181.

Piaget, J., & Inhelder, B. (1969). The psychology of the child. New York: Basic Books,.

Posner, G. J., Strike, K. A., Hewson, P. Due west., & Gertzog, Due west. A. (1982). Accommodation of a scientifc conception: Toward a theory of conceptual change. Science Education, 66(2), 211-227.

Ray, A., & Beardsley, P. (2008). Overcoming Educatee Misconceptions near Photosynthesis: A Model- and Inquiry-Based Approach Using Aquatic Plants. Scientific discipline Activities: Classroom Projects and Curriculum Ideas, 45(1), thirteen-22.

Resnick, 50. B. (1983). Mathematics and science learning: A new conception. Science, 220, 477-478.

Resnick, L. B., Nesher, P., Leonard, F., Magone, M., Omanson, S., & Peled, I. (1989). Conceptual bases of arithmetic errors: The instance of decimal fractions. Journal for Inquiry in Mathematics Teaching, 20(1), 8-27.

Rosnick, P. (1981). Some misconceptions apropos the concept of variable. Mathematics Instructor, 74, 418- 420.

Roth, M. J. (1990). Scientific discipline education: It'due south not enough to "exercise" or "relate". American Educator, 13(4), sixteen-22, 46-48.

Ryan, J., & McCrae, B. (2005). Discipline matter knowledge: Errors and misconceptions of showtime pre-service teachers. In P. Clarkson, A. Downtown, D. Gronn, M. Horne, A. McDonough, R. Pierce, & A. Roche (Eds), Building Connections: Research, Theory and Practise: Proceedings of the 28th Almanac Conference of the Mathematics Pedagogy Enquiry Group of Australasia, (Vol. two, pp. 641-648). Melbourne, Australia: Deakin University.

Sackur-Grisvard, C., & Leonard, F. (1985). Intermediate cognitive organization in the procedure of learning a mathematical concept: The order of positive decimal numbers. Cognition and Instruction, two, 157-174.

Samarapungavan, A. (1992). Children's judgments in theory choice tasks: Scientifc rationality in babyhood. Cognition, 45, 1-32.

Savinainen, A., & Scott, P. (2002). The Force Concept Inventory: A tool for monitoring student learning. Physics Instruction, 37(ane), 45-52.

Savinainen, A., Scott, P., & Viiri, J. (2005). Using a bridging representation and social interactions to foster conceptual change: Designing and evaluating an instructional sequence for Newton'southward third law. Scientific discipline Education, 89(ii),175-195.

Siegler, R. S. (2003). Implications of cognitive science inquiry for mathematics instruction. In J. Kilpatrick, W. B. Martin, & D. Due east. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 219-233). Reston, VA: National Council of Teachers of Mathematics.

Smith, C. Fifty., Maclin, D., Grosslight, L., & Davis, H. (1997). Educational activity for understanding: A study of students' pre-didactics theories of matter and a comparison of the effectiveness of two approaches to pedagogy nigh thing and density. Knowledge and Instruction, 15(3), 317-393.

Smith, C. L., Maclin, D., Houhgton, C., & Hennessey, M. Thousand. (2000). Sixth-course students' epistemologies of science: The impact of school science experiences on epistemological development. Cognition and Instruction, eighteen(3), 349-422.

Steinberg, R. K., Sleeman, D. H., & Ktorza, D. (1990). Algebra students' noesis of equivalence of equations. Journal for Research in Mathematics Education, 22(2), 112-121.

Stovall, Yard., & Nesbit, C. R. (2003). Let's attempt action research! Science and Children, 40, 44-48.

Strike, 1000. A., & Posner, Thousand. J. (1985). A conceptual change view of learning and understanding. In L. H. T. West & A. Fifty. Pines (Eds.), Cerebral structure and conceptual change. New York: Academic Press.

Strike, K. A., & Posner, Grand. J. (1992). A revisionist theory of conceptual change. In R. A. Duschl & R. J. Hamilton (Eds.), Philosophy of science, cognitive psychology, and educational theory and practice (pp. 147-176). Albany, NY: Statue Academy of New York Press.

Tirosh, D. (2000). Enhancing prospective teachers' knowledge of children's conceptions: The case of division of fractions. Journal for research in Mathematics Teaching, 31(i), 5-25.

Vosniadou, S. (1994). Capturing and modeling the process of conceptual change. Learning and Instruction, 4(1), 45-69.

Vosniadou, S., & Brewer, W. F. (1992). Mental models of the globe: A study of conceptual change in babyhood. Cognitive Psychology, 24, 535-585.

Vosniadou, S., & Brewer, Due west. F. (1994). Mental models of the twenty-four hour period/night cycle. Cognitive Science, eighteen, 123-183.

Vosniadou, S., Ioannides, C., Dimitrakopoulou, A., & Papademetriou. Eastward. (2001). Designing learning environments to promote conceptual change in science. Learning and Instruction, xi(4), 381-419.

Welder, Rachael K. (2012). Improving Algebra Preparation: Implications from Research on Pupil Misconceptions and Difficulties. Schoolhouse Scientific discipline and Mathematics, (4), 255-264.

White, B. Y. (1993). Thinker Tools: Causal models, conceptual change, and scientific discipline education. Cognition and Education, 10(1), 1-100.

White, B. Y., & Frederiksen, J. R. (1998). Research, modeling, and metacognition: Making scientific discipline accessible to all students. Noesis and Instruction, xvi(one), 3-118.

Williams, J., & Ryan, J. (2000). National testing and the improvement of classroom teaching: Can they coexist? British Educational Research Journal, 26(1), 49-73.

Winner, E. (1997). The point of words: Children'southward understanding of metaphor and irony. Cambridge, MA: Harvard University Press.

Yilmaz, S., Eryilmaz, A., & Geban, O. (2006). Assessing the affect of bridging analogies in mechanics. School Science and Mathematics, 106(6), 220-230.

Yip, D. (1998). Teachers' misconceptions of the circulatory system. Journal of Biological Didactics, 32(three), 207-216.