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Direct linkValentin A. B. Küchle; John P. Smith III; Jihye Hwang; Reshma Menon – International Journal of Mathematical Education in Science and Technology, 2025
'Group work' is a vague description of an instructional activity, because many factors shape its character and effect on students. One important factor is group formation, that is, how groups are formed by the instructor. In this paper, we sought to better understand the variation of group work with respect to group formation by addressing: How do…
Descriptors: College Faculty, Mathematics Teachers, Mathematics Instruction, Teaching Methods
Ekaterina Yurasovskaya – PRIMUS, 2024
We describe a lecture-free problem-solving Mathematical Communication and Reasoning (MCR) course that helps students succeed in the Introduction to Advanced Mathematics course. The MCR course integrates elements from Uri Treisman's Emerging Scholars workshop model and Math Circles. In it students solve challenging problems and form a supportive…
Descriptors: Mathematics Education, College Mathematics, Introductory Courses, Required Courses
White, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
Baig, Shahida; Halai, Anjum – EURASIA Journal of Mathematics, Science & Technology Education, 2006
This research focused on students' learning of mathematical rules with reasoning. A small group of students (age 11-12 yrs) was observed closely by the first author as she taught them fraction rules. The area of focus was fractions and activities were designed pertaining to the four rules of fractions: addition, subtraction, multiplication, and…
Descriptors: Foreign Countries, Standards, Mathematical Logic, Preadolescents
