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Walkoe, Janet; Levin, Mariana – For the Learning of Mathematics, 2020
We hypothesize that one thing that has been holding the field back from recognizing the algebraic potential of young children's early experiences is an emphasis on specific definitions of what counts as algebra-relevant knowledge. In this article, we seek to develop a perspective on algebraic thinking that foregrounds the algebraic potential of…
Descriptors: Algebra, Thinking Skills, Mathematics Education, Definitions
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Rittle-Johnson, Bethany; Jordan, Nancy C. – National Center for Education Research, 2016
The focus of the present synthesis reflects the research on programs, practices, and policies intended to improve mathematics outcomes funded through the Institute of Education Sciences' (IES's) National Center for Education Research (NCER) and National Center for Special Education Research (NCSER). The authors were asked to review those published…
Descriptors: Mathematics Achievement, Journal Articles, Books, Mathematics Skills
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Stewart, Ann; Storm, Christopher; VonEpps, Lahna – PRIMUS, 2013
The purpose of this paper is to present results of a recent study in which students voted on multiple choice questions in mathematics courses of varying levels. Students used clickers to select the best answer among the choices given; in addition, they were also asked whether they were confident in their answer. In this paper we analyze data…
Descriptors: Multiple Choice Tests, Voting, Classroom Environment, Self Esteem
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L. – National Center for Analysis of Longitudinal Data in Education Research (CALDER), 2013
This paper examines the effects of policies that increase the number of students who take the first course in algebra in 8th grade, rather than waiting until 9th grade. Extending previous research that focused on the Charlotte-Mecklenburg school system, we use data for the 10 largest districts in North Carolina. We identify the effects of…
Descriptors: School Districts, Mathematics Instruction, Secondary School Mathematics, Algebra
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McNeil, Nicole M.; Rittle-Johnson, Bethany; Hattikudur, Shanta; Petersen, Lori A. – Journal of Cognition and Development, 2010
This study examined if solving arithmetic problems hinders undergraduates' accuracy on algebra problems. The hypothesis was that solving arithmetic problems would hinder accuracy because it activates an operational view of equations, even in educated adults who have years of experience with algebra. In three experiments, undergraduates (N = 184)…
Descriptors: Equations (Mathematics), Arithmetic, Algebra, Problem Solving
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Koichu, Boris – International Journal of Mathematical Education in Science and Technology, 2010
This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…
Descriptors: Mathematics Education, Problem Solving, Calculus, Knowledge Level
Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen – Grantee Submission, 2012
Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…
Descriptors: Predictor Variables, Mathematics Achievement, Knowledge Level, High School Students
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Gordon, Sheldon P. – Mathematics Teacher, 2010
One special characteristic of any exponential growth or decay function f(t) = Ab[superscript t] is its unique doubling time or half-life, each of which depends only on the base "b". The half-life is used to characterize the rate of decay of any radioactive substance or the rate at which the level of a medication in the bloodstream decays as it is…
Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, Equations (Mathematics)
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Nillas, Leah A. – International Journal for Mathematics Teaching and Learning, 2010
Qualitative research methods were employed to investigate characterization of preservice teachers' mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren's (1994) model of growth of mathematical understanding. Five elementary…
Descriptors: Preservice Teachers, Test Items, Mathematics Instruction, Knowledge Level
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What Works Clearinghouse, 2007
The What Works Clearinghouse (WWC) looked at elementary school math curricula designed to promote math knowledge and skills among elementary school students (average ages 5 to 10 years). Curricula included in this review are replicable, materials-based instructional programs that cover one or more of the following content areas: numbers,…
Descriptors: Mathematics Achievement, Mathematics Instruction, Elementary School Mathematics, Mathematics Curriculum