On understanding mathematical problem-posing processes

J Cai, B Rott - ZDM–Mathematics Education, 2024 - Springer
Problem posing engages students in generating new problems based on given situations
(including mathematical expressions or diagrams) or changing (ie, reformulating) existing …

What research says about teaching mathematics through problem posing

J Cai - Éducation et didactique, 2022 - journals.openedition.org
There has been increased emphasis on integrating problem posing into curriculum and
instruction with the promise of potentially providing more and higher quality opportunities for …

Understanding the cognitive processes of mathematical problem posing: evidence from eye movements

L Zhang, N Song, G Wu, J Cai - Educational Studies in Mathematics, 2023 - Springer
This study concerns the cognitive process of mathematical problem posing, conceptualized
in three stages: understanding the task, constructing the problem, and expressing the …

[HTML][HTML] Attending to task variables when engaging in group problem posing for elementary level mathematics

A Leavy, M Hourigan - The Journal of Mathematical Behavior, 2024 - Elsevier
In light of the growing interest in research examining problem posing, this study explores an
under-researched aspect–group problem posing. It examines the role of problem situations …

A model for problem creation: implications for teacher training

M Burgos, N Tizón-Escamilla, J Chaverri - … Education Research Journal, 2024 - Springer
The invention of problems is a fundamental competence that enhances the didactic-
mathematical knowledge of mathematics teachers and therefore should be an objective in …

Designing Area of Circle Learning Trajectory Based on" What-If" Questions to Support Students' Higher-Order Thinking Skills.

IPAA Payadnya, RCI Prahmana, JJ Lo… - Journal on Mathematics …, 2023 - ERIC
The study material on circle areas is contextually oriented and aids students in
comprehending their surrounding environment. Higher-order thinking skills are imperative …

Posing and solving modelling problems—extending the modelling process from a problem posing perspective

LM Hartmann, J Krawitz, S Schukajlow - Journal für Mathematik-Didaktik, 2023 - Springer
In mathematics education, pre-formulated modelling problems are used to teach
mathematical modelling. However, in out-of-school scenarios problems have to be identified …

Teaching mathematics through problem posing: Elements of the task

JP Possamai, NSG Allevato - The Journal of Mathematical Behavior, 2024 - Elsevier
Current research and curriculum documents from several countries have highlighted the
importance of problem posing. However, some elements of this activity in mathematics …

Identifying competent problem posers and exploring their characteristics

L Zhang, AJ Stylianides, GJ Stylianides - The Journal of Mathematical …, 2023 - Elsevier
In a study involving 66 masters and 60 sixth-grade students, we conducted Principal
Component Analysis to identify more-and-less competent problem posers based on …

[HTML][HTML] Variables in planning and carrying out a problem-posing task in early childhood education

E Carmona-Medeiro, JP Martín-Díaz… - The Journal of …, 2024 - Elsevier
This research focused on understanding the variables inherent in the design and
implementation of a mathematical problem-posing task. We developed a single case study …