Justification skills should be fostered in teaching mathematics as they are highly related to effectiveness in problem solving. However, pre-service mathematics teachers do not always have the necessary skills in using mathematically convincing language and justifying their solutions. Thus, they should be introduced to a variety of instructional…

The author discusses fixing the "Iceberg Problem" of gaps and unfinished learning lurking beneath the surface of math students. Math is cumulative, with new learning resting atop earlier mastery. Year by year, students learn interconnected concepts in a coherent progression, building a foundational body of knowledge that undergirds new…

The "5Essentials Survey" is one of the few validated instruments to measure school climate. Schools that are strong in at least three of the five essential supports are up to 10 times more likely to experience substantial gains in students' math and reading scores. More than 6,000 schools nationwide have administered the…

The prevalence of academic underachievement or learning disabilities in children with autism or ADHD (two groups at increased risk for such problems) has been extensively researched, but little is known about overachievement in these groups. The frequency of overachievement across academic domains compared to nondiscrepant achievement and…

Rubric has been associated with the term assessment used for grading and/or scoring. However, it might observe less, but it is also designed as students 'learning tool. This study was conducted to provide empirical facts on its effectiveness as a learning tool in teaching Applications of Derivatives in Basic Calculus. It used the…

This paper reports on a study of collaborative group work in mathematics. Although collaborative group work is known as one of the important approaches in education, it is still uncertain how group thinking can be measured in various learning contexts. We used the Group Thinking Measure (GTM) test developed by [Wegerif, R., T. Fujita, J. Doney, J.…

Kuwait, has participated in international TIMSS test for many years, however, there has been little systematic effort to compile and assess changes between genders. This study attempts to look at the results of Kuwaiti students on the TIMSS mathematics assessments in general and according to gender in particular and the views of supervisors on the…

American colleges are redesigning the ways in which they offer remedial courses, including mainstreaming students into college-level courses and making greater use of learning-technology to tailor the curriculum to students' specific academic needs. Exploiting a statewide cutoff on a remediation placement exam along with data on student outcomes…

Four-parameter models have received increasing psychometric attention in recent years, as a reduced upper asymptote for item characteristic curves can be appealing for measurement applications such as adaptive testing and person-fit assessment. However, applications can be challenging due to the large number of parameters in the model. In this…

Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…

We discuss an implementation of the research-based Pathways precalculus curriculum in a large-lecture format supported by recitations, clickers, and online homework. We describe our approach to adapting the implementation of Pathways precalculus from a small class to a large lecture instructional format. We report data on student learning and…

Professional organisations have provided recommendations for prospective elementary teachers (PTs) to engage in mathematics coursework designed for teachers. In this study, 37 syllabi obtained from instructors of these courses -- termed Mathematics Content for Elementary Teachers (MCfET) courses in this paper -- were analysed through the lens of…

We analyze whether non-native speakers in the classroom affect students' educational achievement and social integration. In contrast to previous studies, which mainly examine the effect of the share of immigrant pupils, we focus on language heterogeneity by using a novel measure of the degree of linguistic diversity in the classroom. Conditional…

This study assessed the effectiveness of an online-merge-offline Jamboard application as an innovation in teaching word problems to Grade 4 learners was evaluated in this study. The research evaluates a learner's level of mathematical word problem skills in terms of understanding, devising a plan, solving a problem, and interpreting, as well as…

Adoption of online resources to support instruction and student performance has amplified with technological advances and increased standards for mathematics education. Because teachers play a critical role in the adoption of technology, analysis of data pertaining to how and why teachers utilize online resources is needed to optimize the design…