Opportunities and challenges of mathematics learning in Taiwan: a critical review

KL Yang, HY Hsu, YH Cheng - ZDM–Mathematics Education, 2022 - Springer
In this paper we report the results of a study in which we investigated how formal education
and shadow education in Taiwan provide students opportunities to learn mathematics …

The semiotic structure of geometry diagrams: How textbook diagrams convey meaning

JK Dimmel, PG Herbst - Journal for Research in Mathematics …, 2015 - pubs.nctm.org
Geometry diagrams use the visual features of specific drawn objects to convey meaning
about generic mathematical entities. We examine the semiotic structure of these visual …

Geometrical figure apprehension, construction of auxiliary lines, and multiple solutions in problem solving: Aspects of mathematical creativity in school geometry

P Gridos, E Avgerinos, J Mamona-Downs… - International Journal of …, 2022 - Springer
The present study aims to examine mathematical creativity in students' work in geometry.
Research conducted was based on two aspects:(a) examining the influence of geometrical …

Problem solving in the mathematics curriculum: From domain‐general strategies to domain‐specific tactics

C Foster - The Curriculum Journal, 2023 - Wiley Online Library
Problem solving is widely regarded as a fundamental feature within the school mathematics
curriculum. However, there is considerable disagreement over what exactly problem solving …

[图书][B] The learning and teaching of geometry in secondary schools: A modeling perspective

P Herbst, T Fujita, S Halverscheid, M Weiss - 2017 - taylorfrancis.com
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new
series of texts for teacher education which aims to advance the learning and teaching of …

Mathematical Creativity: Student Geometrical Figure Apprehension in Geometry Problem-Solving Using New Auxiliary Elements.

M Muzaini, S Rahayuningsih, M Ikram… - International Journal of …, 2023 - ERIC
The definition of creativity among professional mathematicians and the definition of
mathematical creativity in the classroom context are significantly different. The purpose of …

Using multimedia questionnaires to study influences on the decisions mathematics teachers make in instructional situations

P Herbst, D Chazan, KW Kosko, J Dimmel, A Erickson - Zdm, 2016 - Springer
This paper describes instruments designed to use multimedia to study at scale the
instructional decisions that mathematics teachers make as well as teachers' recognition of …

Students' reasons for introducing auxiliary lines in proving situations

A Palatnik, T Dreyfus - The Journal of Mathematical Behavior, 2019 - Elsevier
This paper focuses on reasons students' give while introducing auxiliary lines in geometry
proofs. Three cases of pairs of high school students participating in proving activities are …

Teaching geometry to students with learning disabilities: Introduction to the special series

D Zhang - Learning Disability Quarterly, 2021 - journals.sagepub.com
This article introduces and contextualizes the four articles that constitute the thematic special
series on geometry instruction for students with learning disabilities or difficulties. The four …

Challenges of maintaining cognitive demand during the limit lessons: understanding one mathematician's class practices

DS Hong, KM Choi - … journal of mathematical education in science …, 2019 - Taylor & Francis
In this study, we examined five limit lessons using Mathematical Tasks Framework to
understand students' opportunities to learn cognitively challenging tasks and maintain …