Hands-On Equations Research

Lehtonen, D and Joutsenlahti, J (2017). “Using Manipulatives for Teaching Equation Concepts in Language-Based Classrooms,” in Changing Subjects, Changing Pedagogies, Diversities in School and Education, Chapter 9, pp. 164-187. Finnish Research Association for Subject Didactics, Helsinki. 

Borenson, Henry (2013). A Balancing Act.  Teaching Children Mathematics. Vol. 20, No. 2 (September 2013), pp. 90-94. National Council of Teachers of Mathematics.

Suh, J., & Moyer-Packenham, P. (2007). Developing students’ representational fluency using virtual and physical algebra balances. Journal of Computers in Mathematics and Science Teaching, 26(2), 155-173.

Skaggs, Merrie Leah (2007). Algebra for Sixth Graders: An Investigation of the Perceived Difference in Subsequent Learning in Algebra Attributed to the Hands-On Equations Learning System. Submitted to the Department of Curriculum and Teaching and the Faculty of the Graduate School of the University of Kansas in Partial Fulfillment of the requirements for the degree of Doctor of Philosophy.

Vlassis, J. (2002). The balance model: Hindrance or support for the solving of linear equations with one unknown. Educational Studies in Mathematics, 49, 341-359.

Borenson, Henry (1987). Algebra for Gifted Third Graders. Gifted Child Today. May/June 1987.

In-House Research Studies conducted by Henry Borenson and Larry Barber

Borenson, Henry (2009). Hands-On Equations Verbal Problems Research Study: 3rd Grade Gifted Students. Borenson and Associates, Inc., Allentown, PA.

Borenson, Henry. and Larry W. Barber (2008). The Effect of Hands-On Equations on the Learning of Algebra by 6th, 7th and 8th Grade Inner City Students: A Study to Determine if there is a Difference in Performance Among Middle School Students by Grade Level, Special Group Classification, Gender and Race. Borenson and Associates, Inc., Allentown, PA.

Borenson, Henry and Larry W. Barber (2008). The Effect of Hands-On Equations® on the Learning of Algebra by 4th and 5th Graders of the Broward County Public Schools: A Study of the Strength of Acquisition of Algebraic Concepts by 4th and 5th Graders Via Hands-On Equations and a Measure of the Retention of the Pictorial Notation. Borenson and Associates, Inc., Allentown, PA.

Borenson, Henry and Larry W. Barber (2007). A Comparison of Algebra Achievement by 4th, 6th and 8th graders. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W. (2007). Study #105a. The Effects of Hands-On Equations on the Learning of Algebra by Regular 8th Grade Students: A comparison of Achievement with and Without the Game Pieces. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W. (2007). Study #102b. The Effect of Hands-On Equations on the Learning of Algebra by Regular 6th Grade Rural School Students: A Comparison of Achievement with and Without the Game Pieces. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W.(2007). Study #59a. The Effects of Hands-on Equations® on the Learning of Algebra by 4th Grade Students: A Comparison of Achievement with and Without the Game Pieces. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W. (2007). Study #33c. The Effect of Hands-On Equations on the Learning of Algebra by Title I Inner City Students in the 5th grade: 194 Students. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W. and Borenson, Henry (2007). Study #33b. The Effect of Hands-On Equations on the Learning of Algebra by Title I Inner City Students in the 5th grade. Borenson and Associates, Inc., Allentown, PA.

Barber, Larry W. 2007. The Effect of Hands on Equations on the Learning of Algebra by Regular Education 6th Graders. Borenson and Associates, Inc., Allentown, PA.

Barber Larry W. and Borenson, Henry. 2006. The Effect of Making Algebra Child’s Play® Seminar on Teacher Self-Concept and Student Achievement. Borenson and Associates, Inc., Allentown, PA.

Paper Submitted for M.S. Degree in Science Education

Barclay, Jennifer. 1992. A Study of a Manipulative Approach to Teaching Linear Equations to Sixth Grade Students. A professional paper submitted in partial fulfillment of the requirements for the degree of master of science in science education in the graduate school of the Texas Woman’s University College of Arts and Sciences