## Cognitive Research by* Science for All Americans*

### Chapter 9: THE MATHEMATICAL WORLD

**Select a tab to browse:**

### Articles

**Connecting Research to Teaching, Probability and
Statistics**

J. Michael Shaughnessey

**Constructing Meaning for the Concept of Equation**

Nicolas Herscovics and Carolyn Kieran

**Decimal Notation: An Important Research Finding**

Anne S. Grossman

**Decimals: Results and Implications from National
Assessment**

Thomas P. Carpenter and others

**Fractions: In Search of meaning**

Mary Lou Witherspoon

**Fractions: Results and Implications from National
Assessment**

Thomas R. Post

**How Well Do Students Write Geometry Proofs?**

Sharon L. Senk

**Research into Practice: Children’s Understanding
of Zero and Infinity**

Marilyn Montague Wheeler

**Research into Practice: Helping to Make the Transition
to Algebra**

Carolyn Kieran

**Research into Practice: Place Value and Addition and
Subtraction**

Diana Wearne and James Hiebert

**Research into Practice: Place Value for Tens and Ones**

Joseph N. Payne

**Research into Practice: The Problem of Fractions in
the Elementary School**

Leslie P. Steffe and John Olive

**Research into Practice: Similarity in the Middle
Grades**

Glenda Lappan and Ruhama Even

**Research into Practice: Spatial Abilities**

Douglas T. Owens

**Research into Practice: Using Spatial Imagery in
Geometric Reasoning**

Michael T. Battista and Douglas H. Clements

**Research Report: Decimal Fractions**

James Hiebert

**Research Report: Learning Probability Concepts in
Elementary School Mathematics**

Albert P. Shulte

**Results of the Fourth NAEP Assessment of Mathematics:
Measurement, Geometry, Data Interpretation, Attitudes, and Other Topics**

Vicky L. Kouba and others

**Secondary School Results for the Fourth NAEP
Mathematics Assessment: Algebra, Geometry, Mathematical Methods, and Attitudes**

Catherine A. Brown and others

**Secondary School Results for the Fourth NAEP
Mathematics Assessment: Discrete Mathematics, Data Organization and Interpretation,
Measurement, Number and Operations**

Catherine A. Brown and others

**The Shape of Instruction in Geometry: Some Highlights
from Research**

Marilyn N. Suydam

**Some Misconceptions Concerning the Concept of Variable**

Peter Rosnick

**Spadework Prior to Deduction in Geometry**

J. Michael Shaughnessy and William F. Burger

**Units of Measure: Results and Implications from
National Assessment**

James Hiebert

**What Are the Chances of Your Students Knowing
Probability?**

Thomas P. Carpenter and others

**What Are These Things Called Variables?**

Sigrid Wagner

**What Research Says**

Mark Driscoll

**Which Comes First--Length, Area, or Volume?**

Kathleen Hart