Proofs are attempts to conclusively demonstrate the validity of the claim for all cases indicated within its domain, which implies that proving should involve thoughtful consideration of the domain. This study analyzed the enactment of three general claim tasks, or tasks where the domain of the claim referred to an infinite number of cases, that…

This article pushes back against the "evalu-centric view of improvement" (Hazi, 2018; 2020) in the supervision literature by advocating for a democratic pedagogy and supervision framework developed to support instructional supervision and evaluation dialogue between teachers and leaders. This democratized approach honors and centers the…

Little is known about the instructional effects of narrative framing elements in child learning games. In this study, second and third graders (M[subscript age] = 8.24) played one of two versions of a successful, commercial mathematical learning game at home for 2 weeks (N = 95; between-subject design). The versions differed in the…

Research has shown that the ways in which teachers engage in professional development activities vary widely. identified three levels of teacher appropriation within professional development, with their inquiry stance indicative of teachers engaging in self-sustaining practices. In our project, we modified the demonstration lesson format so that…

Educators need collaborative opportunities to renew their love of learning, not just to review data and rework lessons. Researcher Ian Parker Renga and coauthors examine the power of Math Teachers' Circles--a group of educators that get together to play math games and solve problems just for the joy of it.

Geometrical measurement is one of the most difficult fields in primary school mathematics and regularly found to be an area of weaknesses. The factors affecting the low understanding is due to the lack of valid and reliable assessment instruments. Thus, this study aimed to develop and validate a Geometrical Measurement Skill Instrument (GMSI) to…

The article focuses on teaching maths in German primary schools out-of-field. The concept of subject matter seems to stand in opposition to the equally pedagogically and administratively desired class teacher principle in primary school. In the contribution, negotiations are outlined on the basis of a qualitative-reconstructive-interview-study, to…

This study analyzed the research status of mathematical problem posing in thirteen major mathematics education journals from each journal's earliest publication year the study could access to the year of 2018 or 2019, among which 49 years long was the longest and 14 years long was the shortest. After a systematic and comprehensive review of all…

Mathematics is abstract for young children. One way to help children develop better understanding of core early mathematical concepts is by providing concrete learning experiences, thereby making mathematics more accessible to them. Additionally, children will choose to spend more time on subjects or activities they enjoy, which in turn leads to…

The practice assignments in a mathematics textbook or course can be arranged so that most of the problems relating to any particular concept are massed together in a single assignment, or these related problems can be distributed across many assignments--a format known as spaced practice. Here we report the results of two classroom experiments…

Information and the information revolution have brought many changes to our lives. The most revolutionary is the unlimited access of most people to an incredible amount of information. Today we no longer must "keep important information and facts in our heads". With the right technology, we are always within reach. The new age also…

Within a single internet search, thousands of results occur when looking for a lesson or mathematics activity. However, the results are not all of good quality. In this article, the authors present a mathematics lesson planning protocol (MLP[superscript 2]) to help process the search results and offer experiences of teachers using the protocol.…

We use Taylor's formula with Lagrange remainder to prove that functions with bounded second derivative are rectifiable in the case when polygonal paths are defined by interval subdivisions which are equally spaced. As a means for generating interesting examples of exact arc length calculations in calculus courses, we recall two large classes of…

The unsatisfactory academic performance of students in Nigerian secondary schools has been blamed on the quality of teachers, and professional development has been identified as a remedy. Hence, this study examined the effects of teacher collaboration as a form of professional development on students' academic achievement in mathematics. The…

The aim of this paper is to narrate a significant part of the experience of a professor over several semesters teaching fundamental ideas of the "Theory of Calculus." The narrative explains how his didactic and mathematical mentality evolved as he witnessed students' conceptual difficulties, as they were confronted with situations that…