Mathematically gifted students need differentiated tasks in mixed-ability classrooms, and studies evaluating the use of these tasks in classrooms are of crucial importance. Thus, the present study examines how the use of differentiated tasks nurtures mathematically gifted students from the perspectives of mathematics teachers and their gifted…

The purpose of this two-experiment study was to examine the effectiveness of an online, synchronous video modeling multicomponent intervention (guided practice, self-monitoring checklist, and prompting) when teaching secondary level mathematical and geometry skills to an autistic high school student. We used a multiple probe baseline across…

Background: Women remain under-represented in high-paying STEM majors. This study seeks to advance understanding of the factors related to students' decisions to choose STEM majors, with particular attention to gender differences. Prior research has largely examined high school students' perceptions of math interest and math utility in relation to…

Background/purpose. The purposes of this study are to find out the difficulties experienced by Elementary students in learning mathematics, as well as students' and teachers' efforts to overcome those problems. Materials/methods. This research uses a qualitative approach with a case study method. The data are collected using observation,…

Persistent difficulties in learning abstract algebraic concepts--particularly among preservice mathematics teachers--continue to hinder students' mathematical development. While prior studies have documented general misconceptions, few have grounded their analysis in comprehensive learning theories. Addressing this gap, the present study adopts…

Many aspects of noticing in the classroom are tacitly understood by experienced educators. In this case study, we pair ecological and cognitive psychology with computer-augmented analysis of video data to try to better understand some of the tacit elements of educator noticing and decision-making. The ecological model of noticing views noticing as…

Talking productively with students and sufficiently integrating technology into mathematics classrooms have long been regarded as two hurdles for mathematics teachers. To enhance preservice mathematics teachers' dialogic teaching skills and integration of GeoGebra-scaffolded dynamic visualizations, this study proposed and examined the…

The present paper aims at investigating the relationship between students' attitudes toward online homework use and mathematics anxiety among secondary school students. In this study, a model has been proposed by integrating the technology acceptance model (TAM) with mathematics anxiety theory. Three hundred and forty-five secondary school…

Research suggests that troubleshooting activities that require students to reflect on teacher-crafted erroneous examples; i.e., erroneous solutions to problems that correspond to widespread naïve ideas, are beneficial to learning. One possible explanation to these beneficial effects is that troubleshooting activities encourage students to test the…

Initial acquisition of the first symbolic numbers is measured with the Give a Number (GaN) task. According to the classic method, it is assumed that children who know only 1, 2, 3, or 4 in the GaN task, (termed separately one-, two-, three-, and four-knowers, or collectively subset-knowers) have only a limited conceptual understanding of numbers.…

Number lines can benefit students in learning an array of mathematical concepts. An area of mathematics where number lines are visibly underused is in teaching measurement concepts. For students in upper elementary grades, accurate measurements require the use of mathematical precision and coordination, including skills in fractions and decimals,…

This dissertation explores bridge n-sections of knotted surfaces in 4-manifolds by defining invariants that measure the complexity of their topology and by giving geometric constructions that determine Lagrangian surfaces in 4-manifolds under certain conditions. First, we present an elegant geometric construction that generates all triple grid…

This paper is part of a broader study which explores South African pre-service teachers' use of the jump strategy on the empty number line for enhancing their confidence to do and teach mental mathematics computation strategies. The focus of this paper is the use of micro-teaching in the form of video recordings by pre-service teachers. Forty…

Biology is perhaps the most complex of the sciences, given the incredible variety of chemical species that are interconnected in spatial and temporal pathways that are daunting to understand. Their interconnections lead to emergent properties such as memory, consciousness, and recognition of self and non-self. To understand how these…

The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…