This article describes part of a study in which researchers designed lesson sequences based around using a string number line to help teachers support children's development of relative thinking and understanding of linear scale. In the first year of the study, eight teachers of Years 3-5 participated in four one-day professional development…

College readiness of students and the effectiveness of remedial mathematics courses have been under consideration for the last two decades. There is a considerable misalignment between the expectations of students regarding secondary education and those regarding higher education. Information about current expectations and perspectives of college…

In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

Research in mentoring has shown that students may at times be more willing and able to absorb information that is delivered to them by their near-peers, rather than by traditional figures of authority, like teachers and professors. In this study, underrepresented minority high school students participated in an informal learning experience that…

Bandura's influential theory has been used to argue that teachers with high self-efficacy will be more effective at increasing pupil achievement--and a voluminous empirical literature has repeatedly documented associations consistent with this claim. However, few studies have considered whether these correlations reflect an underlying causal…

We examine whether and how teachers' major fields in college affect students' achievement, exploiting within-student variation across subfields in natural science (i.e. physics, chemistry, biology, and Earth science). Using middle-school students' data from the TIMSS and controlling for student-teacher fixed effects, we find that teachers improve…

Issues of equity in mathematics classrooms existed prior to COVID-19. For many students, however, meaningful participation in mathematical discussions became nearly impossible in online settings during the pandemic. In this study, we note the diversity in and nature of participation in mathematical discourse in an online course for preservice…

To fulfill the Standards for Mathematical Practice (National Governors Association Center for Best Practices & Council of Chief State School Officers [NGA Center & CCSSO], 2010), it is important for teachers to empower students to critique, revise, and expand their ideas as they solve problems. However, students often face challenges such…

The purpose of this evaluation was to examine the impact of i-Ready Personalized Instruction on math achievement, as measured by SBA scores. We compared "striving learner" students who were assigned to use i-Ready Personalized Instruction (Treatment students) and "striving learner" students assigned to only receive i-Ready…

In this dissertation in practice, the background of middle grades mathematics acceleration detailed why the organization benefited from a program analysis. Middle grades mathematics acceleration encourages students to take high school Algebra I in eighth grade so they can earn college-level math credits for free in high school. Often acceleration…

The purpose of this study was to measure the effect of classroom practices of using communication tools, collaboration skills, digital skills, and software skills of teachers on the communication behaviors of students during mathematics instruction. A cross-sectional online survey was conducted among 466 mathematics teachers in Nepal. The primary…

Mathematics curricula are often the primary resource used in the teaching and learning of mathematics--in particular, they represent mathematical knowledge for teachers and students. Yet, there seems to be a discrepancy between the curricular materials written for teachers and students (e.g., more variety in the semiotic choices in text provided…

I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.

The use of digital technologies in teaching and learning processes has opened new and wide frontiers in mathematics education. Research in education moves towards teaching and learning (and assessing) twenty-first-century skills and computer-based testing seems an interesting possibility for assessing such skills. From this perspective, comparing…

Rapid technological advancements are reshaping pedagogical expertise development, offering novel pathways to equip educators with 21st-century professional competencies. This study proposes an innovative artificial intelligence (AI)-driven professional development approach and investigates its impact on student teachers' competence development. In…