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