Schemas in Problem Solving - Theory and Classroom Applications

In this review of Schemas in Problem Solving, Sandra P. Marshall presents a focused, theory-driven look at how major knowledge structures shape learning and assessment. The book is best for educators and researchers who want a coherent theoretical framework linking instruction, student performance, and test design, and the single biggest reason to buy is its combination of philosophical roots with concrete experimental evidence from arithmetic story problem learning. This review highlights its practical prescriptions for teaching and the novel use of computer simulation to model student behavior.

Key Features

• Theory of schema development: Offers a unified theoretical account that explains how learners acquire and store problem structures, useful for designing instruction.
• Instructional prescriptions: Provides direct guidance on teaching practices grounded in the theory, making it actionable for classroom planning.
• Assessment implications: Suggests new directions for test design that align assessment with how students actually represent knowledge.
• Experimental evidence: Illustrates the theory with empirical studies of students learning to recognize and solve arithmetic story problems, strengthening the book's claims.
• Computer simulation: Uses simulation to model individual performance alongside traditional studies, offering a complementary analytical tool.

Who It's For

Teachers of mathematics and educational researchers will find the book valuable for its clear link between cognitive theory and concrete classroom strategies; those focused on problem solving in primary and middle school settings will particularly appreciate the arithmetic story problem examples. Curriculum designers and assessment specialists can draw practical ideas for crafting tests that reflect student knowledge structures.

Readers looking for a general textbook on cognitive psychology or a broad survey of educational methods should look elsewhere; this book is concentrated on schema theory and its application rather than a comprehensive pedagogy compendium. It is also more academic in tone than popular how-to teaching guides.

Pros & Cons

Pros

• Clear theoretical framework that connects learning, instruction, and assessment and helps professionals design coherent teaching approaches.
• Empirical support from studies of arithmetic story problems that make the theory tangible and demonstrable.
• Inclusion of computer simulation offers a modern complement to traditional empirical description of individual performance.

Cons

• The book's focused academic approach may feel dense to readers seeking light, practical classroom tips without theory.

Specifications

Our Verdict

Schemas in Problem Solving is a thoughtful, research-grounded work that will reward educators and researchers who want a unified theory linking how students represent knowledge to how they should be taught and tested. Its combination of experimental data and simulation makes it a solid investment for those designing instruction or assessments, though readers seeking purely practical, nonacademic guides may prefer other titles.

Frequently Asked Questions

Does the book include classroom strategies?
Yes; the theory comes with direct prescriptions for teaching that are illustrated through arithmetic problem examples.

Is there empirical support for the theory?
Yes; the author presents traditional experimental studies of student performance alongside computer simulation results.

Who will benefit most from reading it?
Educators, curriculum designers, and assessment specialists interested in the cognitive basis of problem solving and aligned testing will gain the most.