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