Mathematics for Elementary Teachers via Problem Solving-Preliminary Edition, 1/e
Joanna O. Masingila, Syracuse University
Frank K. Lester, Indiana University
Published September, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 394 pp.
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Mathematics for Teachers-Mathematics
This multi-component learning system for prospective elementary-level
teachers uses student activitiesand the problem-solving strategies
they employas the heart of its curriculum. The accompanying Student
Activity Book is designed to be used during class and to provide contexts
through which students make sense of mathematical ideas. Supporting
the activity book are a Student Resource Book and an Instructor's
Views mathematics as a cooperative venture among students
in which they are encouraged to explore, form and debate conjectures,
build connections among concepts, solve problems growing out of their
explorations, and construct personal meaning from all of these experiences.
Draws upon five guiding principals:
Provides a complete learning program consisting of a Student
Activity Book, a Student Resource Book, and an Instructor's Guide.
- Solving a wide range of problems is an essential ingredient
in becoming a good problem-solver.
- Problem solving involves a very complex set of process.
- The instructor plays a vital role in fostering healthy
- Cooperative, small-group work should be commonplace.
- Assessment practices should be aligned with instructional
Encourages students to reflect as they work to understand
a problem, evaluate their solution processes, decide if their solutions
make sense, justify their generalizations, connect mathematical concepts,
understand a problem solution different from their own, extend a problem,
monitor their thinking processes, and communicate their ideas to other
students and the teacher.
Connects activities using key mathematical ideas that run
throughout the text.
Takes a developmental approach, building upon and connecting
activities previously completed to make sense of new mathematical
Offers a concise, visually manageable Student Resource Book
to support the exercises in the Student Activity Book, including...
Uses reflective writing as another source of assessment
data to give instructors additional insight into which topics have
been understood and which need more attention or a more focused discussion.
- Readings on various topics related to the historical/social/cultural
aspects of the chapter concepts.
- Explanations of mathematical concepts and procedures.
- Exercises and problems.
- Recreational mathematics activities.
0. Learning Mathematics via Problem Solving.
1. Getting Started in Learning Mathematics via Problem Solving.
3. Operations on Natural Numbers, Whole Numbers & Integers.
4. Number Theory.
5. Probability & Statistics.
6. Fraction Models & Operations.
7. Real Numbers: Rationals & Irrationals.
8. Patterns & Functions.
Answers to Selected Exercises and Problems.