There are various misconceptions students have when studied quadrilateral which encourages efforts needed to overcome these misconceptions. This study aims at overcoming misconceptions by designing learning trajectories in the topic of Quadrilateral applying the Realistic Mathematics Education (RME). Design research carried out at one of junior…

Educational institutions are more concentrated on preferable measured outcomes rather than theoretical ones. Measuring subject knowledge obtains through written examination is easy, even as skills such as critical and logical thinking, decision making, problem-solving ability, creative thinking are difficult to measure. The education field is…

This article presents theoretical knowledge, sample activities, and reflections from the implementation process on how teachers can benefit from the Variation Theory to help students enhance their mathematical comprehension. In this context, "congruence of triangles" was conceptualized as an object of learning. Critical aspects were…

This study determined the effect of Bingo game instructional strategy on Pupils' mathematics Achievements of public primary schools in Oyo state, Nigeria. One hundred and twelve public primary school grade 3 pupils participated in the study. This study adopted the pretest-posttest control group quasi-experimental design with a 2x3 factorial…

According to NCTM's "Principles and Standards for School Mathematics" (2000), the act of estimating is reflective of students' mathematical intuition and number sense. Students with more developed number sense are better able to judge the reasonableness of their results. To promote estimation, Jennifer Marshall explored incorporating…

Using data from the Trends in International Mathematics and Science Study (TIMSS) 2015 assessment of fourth-grade students in 32 countries, a series of mean comparisons and regression analyses were conducted to determine (1) the gender gap in students' self-concept in mathematics; (2) to what extent student achievement, student gender, and…

Investigating symmetric dot patterns provides opportunities for foundational mathematical learning that is not restricted to multiplication alone. Students have opportunities to learn about the properties of symmetry, about the generalization of patterns, about writing and interpreting equations--all areas of study in grades 3-5. And symmetric dot…

Discipline-specific instructional improvement policies require teachers to implement new teaching and collaborative practices. What kinds of leadership moves do principals make to support enactment of new practices? Drawing on leadership theories to examine principals' leadership actions, data come from a qualitative study of three elementary…

We analyzed item responses provided by a nationwide sample of 990 in-service U.S. middle grades mathematics teachers to a novel survey focused on fraction arithmetic. The survey targeted four components of reasoning in terms of measured quantities: "Referent units," "Reversibility," "Partitioning and iterating," and…

Algebra has long been a gatekeeper to more advanced mathematics and to tertiary education. International assessments, such as PISA, have also shown that this trend extends beyond borders, making the topic of when algebra should be learned quite political. Many reforms have been instituted since the early 1990s to infuse algebraic thinking into…

The aim of this study was to investigate the effect of a precision teaching (PT) framework on the mathematical ability of students with intellectual and developmental disabilities. We also examined if students of moderate mathematical ability could perform as well as their peers with fewer difficulties with their math skills. Sixteen students…

This study examines how teachers' discourse moves influence patterns of authority in the mathematics classroom. We identify changes in authority structure in one classroom taught by a primary mathematics teacher in Hong Kong. This teacher participant was one of 32 who participated in a larger teacher-intervention study that aimed to help teachers…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined…

This study examines gender differences in students' attitudes to mathematics in Irish post-primary schools. Large-scale international assessments have shown the achievement gap between boys and girls to be narrowing in recent years, particularly in lower post-primary education. However, women and girls remain significantly under-represented in…