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    Chapter 2

    1. Marc Bosquillon De Jenlis (Modeling for Conceptual

    Change)

    2. Audra Hale (Model Construction versus Model use)

    3. Melissa Garcia part 1 & 2 (What Can be Modeled)

    4. Stephanie Hamiter (Mindtools for Modeling)

    5. Alfred Barajas (Collaborator)

    Modeling for Conceptual Change

    Model Construction versus Model useWhat Can Be Modeled

    Mindtools for Modeling

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    Modeling for Conceptual Change

    ConceptualizationChange

    elements

    relationsion.docx

    relatio

    ns

    operations

    rules

    Comparingplans

    We must

    first

    understan

    d what we

    can

    demonstr

    ate in a

    model

    before

    asking

    questions

    about the

    realsystem

    Qualit

    ative

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    Elements

    Water Sand Cement Trowel Labor

    Mental models

    provide the material

    for building external

    models.

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    Relations

    The construction

    of different

    models enables

    learners to tune

    their internal

    models.

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    Operations

    Rules

    External

    models

    provide

    means for

    conceptual

    change.

    External models,

    in turn, regulate

    internal models.

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    Conceptualization

    Change

    Equations

    Diagrams

    Computer

    programs

    Etc...

    Etc....

    MindtoolsUnderstan

    ding

    through

    representa

    tion

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    Comparing Plans

    Building explicit

    models of internal

    conceptual models

    engages and

    supports conceptual

    change

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    Deeper

    undertandi

    ng

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    What Can Be Modeled

    What Can Be Modeled?

    What Can Be Modeled?

    Model building externalizes internal mental models. Because of this, there

    can be many different types of models built. Every type of external model can

    engage different kinds of thinking. Model building greatly increases student

    understanding and learning. This is so because construction of a model creates a

    sense of ownership; this sense of ownership is not present when simply memorizing

    a pre-constructed model. Categories that can be modeled are: domain knowledge,

    systems, problems, experiences (stories), and thinking (cognitive simulations).

    Domain Knowledge:

    Learners can build a model, such as a concept map, to demonstrate domain

    knowledge. As the students understanding of domain knowledge grows, so does

    their concept map. The continuous addition of new information to the map

    represents the internal modeling process, whereas, new information is being built

    and connected internally. Here, the students can externally see how one piece of

    information relates to another. These connections are essentially already being

    made in the mind; however, understanding can be greatly increased this way

    especially for visual learners.

    What Can Be Modeled

    Systems

    Domain Knowledge

    Problems

    Experiences (Stories)

    Thinking (Cognitive Sim

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    Systems:

    Rather than focusing on specifics or characteristics of a subject matter,

    systems can get the same information across in a more effective manner. When

    information is taught as a system, there is a better connection made to other

    systems of different subject matters. This creates an integrated view of the world.

    When learners see a subject matter as how it ties to the world and other

    subjects/systems in that world, there is a unified understanding. Students organize

    information into systems, which in turn can be defined by a larger system, or even

    broken down into smaller systems. These systems connect the broadest of

    information to even the most minute of details when the systems are viewed as a

    unified whole.

    Problems:

    When a learner is trying to solve any kind of problem, there must be a

    problem space. This problem space is mentally constructed. Building an external

    model of this problem space can be done by mapping specific relations in the

    problem. The model must become more efficient as the problem becomes more

    complex. Efficiency can be achieved by understanding and implementing rules,

    specific factors, or advice.

    Experiences (Stories):

    Stories are the most natural, and oldest, form of sense-making. Different

    types of stories can include: myths, fairy tales, documentaries, and histories.

    Humans give meanings to their experiences or stories. These meanings are the

    product of our sense-making. Students can externally model experiences by

    collecting experiences of their own and others. When a student then compares

    these experiences, conceptual change can take place. That is, when a learner

    compares information and finds a conflict, they must decide whether to change

    their original concept or dismiss the conflicting information. A database and index

    model can serve as a means to categorize and store these stories.

    Thinking (Cognitive Simulations):

    When a student self-reflects to learn how they learn, it is called

    metacognition. Many educators promote this type of thinking because it aidsstudents in becoming self-aware in their learning environment. Learners can build a

    model that specifies what type of thinking is necessary to solve a problem, make a

    decision, or finish a task. This model is called a cognitive simulation. There are

    many modeling tools that can build this type of model. Like other models, cognitive

    simulations can also lead to conceptual change when theories of thinking collide or

    mesh.

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    Mindtools for Modeling

    GOAL: To make effective use of the mental efforts of learners

    Technology-based modeling tools function as intellectual partners of learners,

    allowing learners to have the cognitive responsibility for the processing they do

    best, while allocating to technology the processing that it does best. Mindtools do

    not necessarily make the task of learning easier, but they do require the learner to

    think harder about the subject matter being studied than they would have without

    using mindtools. There are several types of mindtools to consider when choosinghow to model a subject matter. There are both pros and cons for using mindtools.

    Mindtools

    Computer/technology which

    engages a learner in representing,

    manipulating, and reflecting on

    what they know

    Advantages of

    Mindtools

    Limitations of

    Mindtools

    Represents a

    constructivist

    approach

    Facilitates

    learning and

    meaning-

    making

    process

    Learner =

    Higher level

    thinking

    (organizing,

    judging)

    Computer =

    low levelprocessing

    (calculating,storing,

    retrieving)

    Using

    mindtools

    does not

    necessarily

    make the

    task easier

    Types of

    Mindtools

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    Visualization

    Tools

    Draw and Paint

    Software

    Ideas more easily

    interpretable by

    other viewers

    Other Domain Specific

    Programs, Ie chemistry,astronomy

    Knowledge

    Building

    Tools

    Hypermedia

    Ie: Storyspace

    Websites

    ie: Dreamweaver

    MultimediaPrograms

    Discussion

    Boards

    Open-ended

    Types of

    Mindtools

    Back to Mindtools

    Semantic

    Organization

    Tools

    Concept Mapping

    Databases

    Identify and convey

    meaning of concepts

    w/in domain

    DynamicModeling

    Tools

    Represents the

    changing nature of

    system phenomena

    in a form that

    resembles the realthing

    Spreadsheets

    Expert Systems

    Population

    Systems

    Teachable

    Agents & Direct

    Manipulatives

    Uses rules to describe,

    organize, and analyze data

    Program that simulates the

    way human experts solve

    problems

    Explores connection between

    individuals and patterns that

    emerge from interaction with

    many individuals (virus

    growth)

    Students learn by teaching the

    agent or environment how to

    investigate and report results

    ie: build and test physics

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    Back to Mindtools for Modeling

    Advantages of

    Using Mindtools

    Cost EfficiencyLearning

    Efficiency

    Cost per

    application is

    low

    Cost per

    student is

    low

    Requires

    skills in

    limited # of

    programs

    Can be appliedto a broad

    range of

    subjects

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    Back to Mindtools for Modeling

    Limitations of Using

    Mindtools

    Developmental

    Differences

    Fidelity

    (Accuracy)

    Models are only

    representations

    Different

    modelsrequire

    different

    level of

    intellectual

    development

    Dont

    assumecomplex

    tasks are

    beyond

    students

    IdentityStability

    Models are

    not

    identical to

    the

    phenomena

    themselves

    Models

    oversimplif

    y the real

    world

    Phenomena

    change

    over time,

    context,

    and

    purpose

    Models

    often

    represent

    dynamic

    processes

    Heavy Cognitive

    Load

    Split-Attention

    Effect

    Integrationof Multiple

    Sources

    Takes

    Practice

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    Things to Ponder

    *How would utilizing mindtools fit into Blooms taxonomy?

    *Which of these mindtools would a 2nd grader be able to employ?A high school student?

    *Can mindtools be used across different curricula?

    *How do dynamic modeling tools differ from the other threetypes?

    *Considering the four types of mindtools discussed, do you think

    one would be more engaging than others?

    *Is one type of mindtool more susceptible to the limitationsmentioned in the chapter than any of the others?

    Mindtools Home Types of Mindtools Advantages

    Limitations