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  Feature Name: Representations of motion at changing speed
 
Author: polina& Sofia

Category: Visualization Tools (pre-designed): Models, Visualization Tools (pre-designed): Simulations, Visualization Tools (pre-designed): Visual Explanations (2D+3D), Inquiry Tools: Guided inquiry

Subject: Math & Geometry

Kind: NA

Audience:
 Elementary School
 Middle School
 High School
 Higher Education
 Teachers & Principals
 Other


Projects:

Software URL: Visual Math

Created by: מט"ח, משרד החינוך, אוניברסיטת חיפה

Reference URL

This Feature is connected to (2) Principles
  • Use multiple representations
  • Enable manipulation of factors in models and simulation
     
    Feature in Visual Map
     
    Description:
    This feature allows simulating motions with constant acceleration/deceleration. Beside a simulation itself this feature presents the motion in another ways: traces of a moving ball, increasing change with constant differences and X increasing in time (distance/time graph).
    Following parameters are configurable in this feature: motion direction, acceleration and initial velocity. Arrows in stair diagram of increasing change with constant differences are equal to arrows that presented in the distance/time graph and represents distance changes in intervals of time.
    Initial velocity and acceleration are defined with signed values. This allows simulating various kinds of motion: deceleration, acceleration, constant velocity.
    The Rationale Behind the Feature (Specific Design Principle):
    In Mathematical studies, students often see the speed as a constant value. However, in Physics, they get acknowledged with changing speed.
    The paper (see the reference) shows that students have difficulties in describing motions with permanent acceleration by using mathematical tools. This feature helps in investigation and visualization of this kind of motion.
    Context of Use:
    With this tool, students investigate a motion with acceleration. Students are asked to pay attention to the following aspects:
    - Different kinds of motions that can be simulated with stair’s definition.
    - Various forms of velocity behavior


    References:
    Models of functions and Models of situations: On the Design of Modeling-Based Learning Environments
    .by M. Yerushalmy & B Shternberg

    Image:(Click to enlarge)