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Preheim, Michael – ProQuest LLC, 2023
Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…
Descriptors: Undergraduate Students, Mathematics Education, College Mathematics, Metacognition
Banning, James; Eversole, Barbara; Most, David; Kuk, Linda – College Student Journal, 2008
A review of student affairs journals clearly points out that most, if not all, research strategies within the field fall within traditional approaches based on quantitative methods and, more recently, qualitative methods. The purpose of this article is not to discourage use of these time honored research strategies, but to suggest the inclusion of…
Descriptors: Research Methodology, Algebra, Student Personnel Workers, Student Personnel Services

Lovitt, Charles; Clarke, Doug – Australian Mathematics Teacher, 1987
Presented is an activity for teaching linear algebra to grade 7 or grade 8 students. The activity is taken from the "Victorian Secondary Reality in Maths Education" (RIME) Pack. The activity called "Backtracking" builds on intuitions and understandings that students already possess. (RH)
Descriptors: Algebra, Instructional Materials, Mathematical Logic, Mathematics Curriculum

Reiter, Harold; Ritchie, David – College Mathematics Journal, 1989
This article develops an algorithm to find all solutions to the problem, making all sums of a hexagram's nine lines the same. It shows how to exploit the geometric structure of the hexagram and its group of automorphisms. (YP)
Descriptors: Algebra, Algorithms, College Mathematics, Computation
Hall Rogers; And Others – 1988
This paper analyzes the quantitative and situational structure of algebra story problems, uses these materials to propose an interpretive framework for written problem soving protocols, and then presents an exploratory study of the episodic structure of algebra story problem solving in a sizable group of mathematically competent subjects. Analyses…
Descriptors: Algebra, Mathematical Applications, Mathematical Concepts, Mathematical Logic
Nemirovsky, Ricardo, Ed.; Rosebery, Ann S., Ed.; Solomon, Jesse, Ed.; Warren, Beth, Ed. – Lawrence Erlbaum Associates (Bks), 2005
This book re-examines the dichotomy between the everyday and the disciplinary in mathematics and science education, and explores alternatives to this opposition from points of view grounded in the close examination of complex classroom events. It makes the case that students' everyday experience and knowledge in their entire manifold forms matter…
Descriptors: Mathematics Education, Science Education, Theory Practice Relationship, Instructional Design