1 / 22

CPMP-Tools :

CPMP-Tools : Innovation in Design, Access to, and Use of Software Tools for High School Mathematics. Christian Hirsch Western Michigan University Kalamazoo, Michigan USA. Session Overview. Overview of the Core-Plus Mathematics Project Genesis and design of CPMP-Tools Examples

elijah
Download Presentation

CPMP-Tools :

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CPMP-Tools: Innovation in Design, Access to, and Use of Software Tools forHigh School Mathematics Christian Hirsch Western Michigan University Kalamazoo, Michigan USA

  2. Session Overview • Overview of the Core-Plus Mathematics Project • Genesis and design of CPMP-Tools • Examples • Participant comments and questions

  3. The Core-Plus Mathematics Project is a curriculum research and development project funded by the National Science Foundation. www.wmich.edu/cpmp/

  4. Core-Plus Mathematics A Three-Year Core Program Plus A Flexible Fourth-Year Course

  5. Core-Plus Mathematics Units Course 1 Unit 1 Patterns of Change Unit 2 Patterns in Data Unit 3 Linear Functions Unit 4 Vertex-Edge Graphs Unit 5 Exponential Functions Unit 6 Patterns in Shape Unit 7 Quadratic Functions Unit 8 Patterns in Chance Course 2 Unit 1 Functions, Equations, and Systems Unit 2 Matrix Methods Unit 3 Coordinate Methods Unit 4 Regression and Correlation Unit 5 Nonlinear Functions and Equations Unit 6 Network Optimization Unit 7 Trigonometric Methods Unit 8 Probability Distributions Course 3 Unit 1 Reasoning and Proof Unit 2 Inequalities and Linear Programming Unit 3 Similarity and Congruence Unit 4 Samples and Variation Unit 5 Polynomial and Rational Functions Unit 6 Circles and Circular Functions Unit 7 Recursion and Iteration Unit 8 Inverse Functions

  6. Core-Plus Mathematics Units Course 4 Preparation for Calculus Unit 1 Families of Functions Unit 2 Vectors and Motion Unit 3 Algebraic Functions and Equations Unit 4 Trigonometric Functions and Equations Unit 5 Exponential Functions, Logarithms, and Data Modeling Unit 6 Surfaces and Cross Sections Unit 7 Concepts of Calculus Unit 8 Counting Methods and Induction

  7. Technology Support In spite of the considerable promise that computer technology provides for the improvement of school mathematics and student learning, the fulfillment of that promise has been stymied by issues of finance, access, and equity, among others (Heid 1997, 2005).

  8. What would it take for computer tools like spreadsheets, computer algebra systems (CAS), and interactive geometry, discrete mathematics, and statistics tools to become a more integral part of student learning and work? • universal availability • potential to be tailored for particular purposes • curricula that incorporate these tools as an integral part of the development of mathematics (Heid 2005)

  9. Some Background 87% of U.S. teens aged 12–17 use the internet. Of those, 87% have internet access at home. Among the survey respondents— 89% of Hispanic youth indicated going online 87% of white youth indicated going online 77% of African-American youth indicated going online Teens and Technology, July 27, 2005 Pew Internet & American Life Project

  10. 93% of youth aged 12–17 are online 91% of youth or parents own a computer 76% of online teens report using the internet mostly at home 75% of online teens report having broadband internet use at home, and less than 1% say school is their only access Parent and Teenager Internet Use, Oct. 24, 2007 Pew Internet & American Life Project

  11. Design Features • The software toolkit was developed from the ground up with specific curriculum applications in mind. • Tools were developed for each strand of the curriculum.

  12. Algebra tools include an electronic spreadsheet and a computer algebra system (CAS) that produces tables and graphs of functions, manipulates algebraic expressions, and solves equations and inequalities. The functionality of the CAS and other tools increases with each course level.

  13. Geometry tools include an interactive drawing tool for constructing, measuring, manipulating, and transforming geometric figures, a simple object-oriented programming language for creating animation effects,

  14. and a set of custom tools for studying geometric models of physical mechanisms, tessellations, and special shapes.

  15. Statistics tools include tools for graphic display and analysis of univariate and bivariate data, simulation of probabilistic situations

  16. and mathematical modeling of quantitative relationships. 

 Software includes pre-loaded data sets appearing in the student texts.

  17. Discrete Math tools include tools for constructing, manipulating, and analyzing vertex-edge graphs and their representations as adjacency matrices.

  18. Design Features • The software toolkit was developed from the ground up with specific curriculum applications in mind. • Tools were developed for each strand of the curriculum. • Tools and their functionality are organized by course to focus on the intended mathematics and to reduce the steepness of the learning curve.

  19. Tools share similar menu screens and interface promoting learning transfer from one tool to another. • Tools are built using Java WebStart, which permits safe, easy, and reliable distribution of software and software updates across different types of computers.

  20. CPMP-Tools is available under a Gnu-public license at • www.wmich.edu/cpmp/CPMP-Tools

  21. Now to some examples of CPMP-Tools use . . .

More Related