Supporting students' problem-solving skills, solution planning and sequencing of different stages that are involved in successfully developing a meaningful solution to a problem has been a challenge for teachers. This case study was informed by reflective investigation methodology which explored how procedural flowcharts can support student…

AHP and Conjoint analysis methods are used to determine the priorities and preferences of groups or individuals in the decision-making process. These methods provide predictive results in many fields such as economics, politics, and environmental sciences. Multi-criteria decision-making methods have the potential to produce effective results in…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

This study aims to obtain a picture of the perception of mathematics teachers related to students' mathematical problem-solving abilities. This research method is qualitative research with a case study approach. The subject of this research is a mathematics teacher in Sumatra. A total of 32 mathematics teachers were involved in this study. The…

This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher's beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through…

Purpose: Learning is a series of activities arranged by the teacher that involves both mental and physical processes through the interaction of students and teachers with the learning environment and learning resources as well as between students and students to achieve the specified competencies. One of them is numeracy learning in mathematics…

The purpose of this study is to gain understanding of how secondary teachers conceptualize the relationships between mathematical modeling and problem solving. Eight secondary teachers participated in semi-structured, think-aloud individual interviews. Some conceptualizations include (a) modeling and problem solving are two distinct processes; (b)…

Years of failed attempts to engage my mathematics teacher students in exploration and co-creation led me to radically change my teaching approach. Inspired by literature that uses the jazz improv metaphor for teaching, I derived three tenets based on principles from jazz improv. First, I would bring no more than a single problem-solving task to…

The pre-service teacher followed in this paper aimed to act as an agent of change during a time of reform in Irish secondary mathematics education. A teacher-researcher led action research project was conducted to depict the reality of the situation regarding the implementation of mathematical problem solving from a variety of perspectives-namely…

This article reports two primary school teachers' perceptions of the effectiveness of lessons based on a problem-solving intervention. The intervention included enabling and extending prompts, independent student struggle time initially and time to share problem-solving strategies at the end. The intervention had two versions: one included whole…

This study explores narratives about critical moments in mathematics learning written by K-8 pre-service teachers' (PSTs) in the United States over a 20-year period. These critical moments, such as a single memorable task, course, test, or comment from a teacher, had a powerful and sustained impact on PSTs' mathematics identities, which they…

Numerical sequences are one of the mathematical subjects linked to everyday life, and are taught at several levels in Morocco. However, many students still had difficulty teaching this subject, more specifically the limits of numerical sequences and the nature of convergence. The aim of this study was to analyse the learning difficulties of…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

In this paper we examine how facilitators' prior experiences as mathematics teachers frame their work when facilitating a practice-based professional development (PD) for the first time. We focus on the experiences of a novice facilitator of StoryCircles, a professional learning process in which teachers collectively script and visualize a…

This article reports on a project implemented to help middle school teachers provide evidence-based instruction and intervention to students with mathematics learning disabilities (MLD) and mathematics difficulties (MD). Multiple sources--interviews, surveys, and field notes from formal and informal observations--were used to gather data on…