Cognitive Research by Science for All Americans

Chapter 9: THE MATHEMATICAL WORLD

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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