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PREPRINT "Generalizing Patterns in Algebra for Long-Term Memory Understanding" (
California Math Council, ComMuniCator, (34, 2), December, 2009 )
The Neuroscience of Connections Visualizations & Generalizations (
In Press. (2010). Knights, C. & Oldknow, A., eds. Enhancing Mathematics with Digital Technologies. Continuum Press. London, UK. )
PREPRINT "Dynamic Visualizations in Teaching Algebra" Ohio Journal of School Mathematics Spring 2009
"Implications of neuroscientific research on teaching algebra" International Journal on Continuing Engineering Education and Life-Long Learning
PREPRINT "Neural Associations through Mathematical and Contextual Connections," Ohio Journal of School Mathematics, Autumn, 2008
Why Use a Function Approach when Teaching Algebra?
Activities from the article: Why Use a Function Approach when Teaching Algebra?
Hand-Held Graphing Technology in the Developmental Algebra Curriculum (Preprint)
Developmental Algebra with Function as the Underlying Theme
Graphing Technology - Tool of Choice for Teaching Developmental Mathematics
Using Data to Promote Mathematical Understanding
On Teaching Intermediate Algebra from a Function Approach
Sharp Corners, Rates of Change, Systems of Equations, CAS, and Geometric Transformations All in One Problem
Open-ended Questions and Guided Discovery in Beginning/Intermediate Algebra
Multiplicity of Algebraic Methods Using Graphing Calculator Technology
Assessing Students with Hand-Held Technology
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Keynote Address "Teaching and Learning Algebra based on Neuroscience/Cognitive Science Research" (8th International Conference on Technology in Mathematics Teaching, Hradec Kralove, Czech Republic)
Teaching and Learning Algebra based on Neuroscience/Cognitive Science Research - Implementation Samples
The Meaning of "A Function Approach to Teaching Algebra" (National Council of Teachers of Mathematics 82ndAnnual Meeting)
More to Data than Modeling (School Science and Mathematics Association 2003 Annual Conference)
The Exponential Function - More Important Than Ever (Ohio Council of Teachers of Mathematics 53rd Annual Conference)
High School Mathematics Remediation through a Function Approach (National Council of Teachers of Mathematics 81stAnnual Meeting)
Remedial Algebra with Function as the Underlying Theme (National Council of Supervisors of Mathematics 2003 Annual Conference)
A Teaching Lesson on Factoring Polynomials with Technology (15th Annual International T3 Conference)
Modernizing the Developmental Mathematics Curriculum through Algebra from a Function Approach (National Association for Developmental Education 27th Annual Conference)
Ideas on Teaching the Linear Function (National Council of Teachers of Mathematics Central Regional Conference)
The Teaching of the Quadratic Function: An Introduction (Ohio Council of Teachers of Mathematics 52nd Annual Conference)
The Linear Function in Context (Conference for the Advancement of Mathematics Teaching)
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