Teaching K-6 Mathematics
Routledge – 2002 – 334 pages
This developmentally sound, research-based, practical text speaks directly to preservice elementary mathematics students about the multitude of ways they can help their future students learn to see the power, beauty, necessity, and usefulness of mathematics in the world.Part 1 deals with guiding principles that permeate the text, while Parts 2-11 deal with the specific NCTM Standards for grades K-6. Teaching K-6 Mathematics:
*is aligned with the current NCTM Curriculum and Evaluation Standards for School Mathematics;
*integrates content and methodology;
*emphasizes use of technology as a teaching/learning tool;
*stresses problem solving;
*provides basic information on current research in mathematics education;
*focuses on identification of error patterns and analysis;
*uses a down-to-earth, friendly writing style that engages the student rather than prescribing what to do; and
*includes many activities and exercises, including games, tricks, and amusements that can be used in the classroom to increase student interest in mathematics.
*Technology is integral throughout the text. Students are expected to perform Internet searches, investigate new sites appropriate for elementary students, sample new software that could be used in the classroom, and develop ways to blend calculators into the curriculum.
*Manipulatives are considered essential for students to learn elementary mathematics concepts. Cuisenaire rods, base 10- blocks, chips, number lines, and geoboards are all part of the manipulative landscape that is created in this text.
*Careful attention is given to blending rote work, developmental activities, fun, application, technology, manipulatives, assessment, and planning, so that prospective teachers become accustomed to using varied approaches and decision making as a curriculum is determined.
*Tricks, Activities, and Games (TAG) provide a wealth of ideas to attract students to learning mathematics.
"This textbook is a wonderful guide through the many developmental aspects of teaching mathematics effectively. It is a fine example of content and methodology integration, with special attention given to learning modalities, problem solving, technology, error patterns, and analysis….take advantage of this informally written text and discover for yourself its breadth and depth."
—American Journal of Psychology
"A 'nuts and bolts' approach to the teaching of elementary mathematics….well presented and easy to follow."
—Charles E. Lamb
Texas A&M University
"A good beginning point for preservice teachers in elementary education….Students will find this text comfortable, yet informative to read."
—Trena L. Wilkerson
Contents: Preface. As a Teacher of Mathematics: An Introduction. Guiding Principles for School Mathematics. Number and Operations. Algebra in the Elementary Classroom. Geometry in the Elementary Classroom. Measurement in the Elementary Classroom. Data Analysis and Probability. Problem Solving. Reasoning and Proof. Communication. Connections. Representation.