The mathematical background of proving processes in discrete optimization—exemplification with Research Situations for the ClassroomZDM - Tập 54 - Trang 925-940 - 2022
Sylvain Gravier, Cécile Ouvrier-Buffet
Discrete mathematics brings interesting problems for teaching and learning proof, with accessible objects such as integers (arithmetic), graphs (modeling, order) or polyominoes (geometry). Many problems that are still open can be explained to a large public. The objects can be manipulated by simple dynamic operations (removing, adding, ‘gluing’, contracting, splitting, decomposing, etc.). All thes...... hiện toàn bộ
Understanding Instructional Quality Through a Relational LensZDM - Tập 50 - Trang 367-379 - 2018
Rebekah Berlin, Julie Cohen
In this paper, we analyze mathematics lessons using the Classroom Assessment Scoring System (CLASS), a standardized observation protocol that suggests that high-quality lessons are distinguished by the tenor and frequency of classroom interactions. Because the CLASS focuses on interactions, rather than the specifics of content teaching, it can be used across content areas from language arts to mat...... hiện toàn bộ
Mathematical modelling as bridge between school and universityZDM - Tập 38 - Trang 196-208 - 2006
Gabriele Kaiser, Björn Schwarz
The paper reports on University seminars of mathematical modelling at school, that were held together by the departments of mathematics and mathematics education and some schools in Hamburg. Prospective teachers together with students in upper secondary level carried out modelling examples either in ordinary lessons or special afternoon groups. They tackled authentic problems proposed by applied m...... hiện toàn bộ
Using comparison of multiple strategies in the mathematics classroom: lessons learned and next stepsZDM - Tập 49 - Trang 585-597 - 2017
Kelley Durkin, Jon R. Star, Bethany Rittle-Johnson
Comparison is a fundamental cognitive process that can support learning in a variety of domains, including mathematics. The current paper aims to summarize empirical findings that support recommendations on using comparison of multiple strategies in mathematics classrooms. We report the results of our classroom-based research on using comparison of multiple strategies to help students learn mathem...... hiện toàn bộ