This paper reports on the development of complex unfamiliar mathematics questions using conventional mathematics questions. The autoethnographic research data included retrospective reflections of two educators and review of literature. Data analysis resulted in a three-phase development process: identifying conventional questions and subject…

Purposeful questioning is one of the most important elements to promote successful mathematics understanding (National Council of Teachers of Mathematics, 2014; Ontario Ministry of Education, 2011). Questioning helps teachers to elicit, interpret, and respond to student thinking (Stein et al., 2008) and supports students' understanding,…

Research on teacher questioning often provides snapshots of questioning practices or study how interventions can lead to development of questioning, but few studies have investigated if and how teacher questioning evolves naturally over time. This study explored such natural variation by analysing the questioning practice of a Norwegian elementary…

Interest in teachers' moves to classroom discourse has started to increase since how teachers respond to students' thinking influences students' learning. The purpose of this study was to investigate the moves used by one sixth grade mathematics teacher at a public middle school in Turkey to support student reasoning in mathematics instruction and…

Modeling with mathematics (MP4) is a mathematical practice standard that can be used to engage students in mathematical content standards as well as additional mathematical practice standards. Research has shown the benefits of mathematical modeling (e.g., Aguirre et al., 2019; Cirillo et al., 2016a), but also the challenges teachers can face…

Nurturing autonomous learners is a fundamental instructional goal, aimed at honing students' problem-solving skills for use in later educational and career experiences. The study explores the results of a yearlong program providing professional learning to mathematics student teachers with the aim of nurturing mathematically talented students…

The National Council of Teachers of Mathematics's "Principles to Actions" (NCTM, 2014) cites posing purposeful questions and eliciting and using evidence of student thinking as effective mathematics teaching practices. Interviewing students creates opportunities for teachers to develop these practices. Through interviewing, they can try…

Participating in classroom mathematics conversations, particularly engaging with the opinions of others, can improve learners' mathematical comprehension. Teachers can use a variety of invitation and follow-up moves to encourage student engagement. The study aimed to explore teacher follow-up on learners' initial responses to teacher questions and…

Self-regulated learning (SRL) environments provide the context for students?to have more control over their own learning and have the potential to greatly benefit students. However, more research is needed to understand how teachers approach their interactions with students in these settings and how teachers actualize effective teaching practices…

The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Purpose: The study aims to understand what learning is evidenced regarding knowledge about the teaching of mathematics by five primary teachers when they reflect on research lessons. To do so, we used situations from the formal and informal reflection sessions that took place after teaching four research lessons. Design/methodology/approach: It is…

The aim of the study was to investigate the validity level of Socrates-based linear algebra e-module, both material validity and design. This is a research and "development" (R&D) with ADDIE procedure: analysis, design, develop, implement, and evaluate. The participants were 30 students and 2 lecturers who supervised linear algebra…

This qualitative study will address some potential reasons why reform-based mathematics has not been implemented in the secondary mathematics classroom. It will explore the beliefs, perceptions, and thoughts of mathematics teachers using a particular reform strategy called open-ended questioning. Although teacher beliefs, perceptions, and…

This study compares the effects of student-centred teaching methods, teacher-centred methods, and teacher-student interactive methods on students' mathematics academic achievement. For this purpose, calculus, compound interest, annuities, and depreciation topics were taught to first-year college students in three different groups: traditional…

The "Pygmalion effect," is a construct that states that people often rise to the level that is expected of them (Chang, 2011). This is closely related to the "law of expectations," in which individuals receive what they expect to receive. These ideas may be applied to the educational arena when related to teacher perceptions…