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A Free Resource That Can Create Discussion

Want a free 108-page book....that addresses the concerns of every mathematics teacher? Then, here is a deal for you!

A few years ago Washington State's Office of Public Instruction sponsored the writing of research documents related to teaching academic subjects. For the text specific to mathematics, the goal was to provide a research-based overview of the potential and challenges of teaching quality mathematics (K-12), in as friendly and useful manner as possible. The intent was to support teachers and administrators in their efforts to improve student learning in mathematics, and an increased awareness of research results is an important form of support.

The end-result, Teaching and Learning Mathematics: Using Research to Shift From the "Yesterday" Mind to the "Tomorrow" Mind has four main parts:

  • Discussion of what research in mathematics education can and cannot do;
  • Overview research results related to content (number sense, measurement, geometry sense, probability and statistics, algebraic sense) and process (problem solving, communication, mathematical reasoning, and connections);
  • Address specific questions in mathematics education raised by teachers, administrators, and parents;
  • Outline a plan that a teacher, district, or state can follow to maintain relevancy in mathematics education.
Though the context for the text is Washington State's Essential Academic Learning Requirements (EALRs), the research summaries translate to any instructional program consistent with the NCTM Standards.

Table of Contents

  • Research in Mathematics Education: What It Can and Cannot Do
  • Overview of the Research:
    1. Number Sense: Number and Numeration
    2. Number Sense: Computation
    3. Number Sense: Estimation
    4. Measurement: Attributes and Dimensions
    5. Measurement: Approximation and Precision
    6. Measurement: Systems and Tools
    7. Geometry Sense: Shape and Dimension
    8. Geometry Sense: Relationships/Transformations
    9. Probability and Statistics: Chance
    10. Probability and Statistics: Data Analysis
    11. Probability and Statistics: Prediction and Inference
    12. Algebraic Sense: Relations and Representations
    13. Algebraic Sense: Operations
    14. Problem Solving
    15. Communication
    16. Mathematical Reasoning
    17. Connections
    18. ,
  • What Research Tells Educators:
    1. Constructivism and Its Use in Mathematics Classrooms
    2. Role and Impact of Using Manipulatives in Mathematics Classrooms
    3. How Students Solve Word Problems Involving Mathematics
    4. Mastery of Basic Facts and Algorithms in Mathematics
    5. Use and Impact of Computing Technologies in Mathematics Classrooms
    6. Culture of the Mathematics Classroom
    7. Impact of Ability Grouping in a Mathematics Classroom
    8. Individual Differences and Equity Issues in Mathematics Classrooms
    9. Teacher Attitudes and Student Attitudes in the Mathematics Classroom
    10. Using Performance-Based Assessment in Mathematics Classrooms
    11. Professional Development Programs for Mathematics Teachers
    12. Changes in How Teachers Teach Mathematics/How Students Learn Mathematics
  • Next Steps: Using Research as Professional Educator
    1. Step 1: Mathematics Teachers Accepting Responsibility for Change
    2. Step 2: The Re-Education of Mathematics Teachers
    3. Step 3: Mathematics Teachers in Their New Roles as Researchers
  • An extensive list of references and index.

Plus, a PDF-version of this 108-page text Teaching and Learning Mathematics: Using Research to Shift From the "Yesterday" Mind to the "Tomorrow" Mind can be downloaded at no cost from the OSPI Publications Site. What a deal!

Note: This resource was previously described as a website to visit. The book is important and it seemd more appropriate to relist it as a resource.