Mathematics teaching at secondary levels has proven surprisingly resistant to change over the past century. This study draws on two theoretical models to investigate how the process of changing secondary teaching in algebra through school-based professional learning might occur, and its relationship to different external and internal influences on…

This chapter considers psychological and neuroscience research on how people understand the integers, and how educators can foster this understanding. The core proposal is that new, abstract mathematical concepts are built upon known, concrete mathematical concepts. For the integers, the relevant foundation is the natural numbers, which are…

The study focused on how university students constructed proof of the Fundamental Theorem of Calculus (FTC) starting from their argumentations with dynamic mathematics software in collaborative technology-enhanced learning environment. The participants of the study were 36 university students. The data consisted of participants' written…

While some tertiary mathematics educators approximated the familiar invigilated, closed-book assessment regime in the online environment forced upon us all by a pandemic, others either by choice or necessity needed to devise a new way to assess their students' learning. This Classroom Note both synthesizes advice from the literature about what…

Help-seeking is a valuable practice in online discussion forums. However, the asynchronicity and information overload of online discussion forums have made it challenging for help seekers and providers to connect effectively. This study formulated a new method to provide fair and accurate insights toward building a peer recommender to support…

As community colleges emerge from the COVID-19 pandemic there may be a tendency to rely on technology to facilitate more online coursework. Online education has been a fixture of higher education since the mid-1990s, but there's always been a question as to whether it is effective as traditional, face-to-face coursework. This is especially…

The transition between arithmetic and algebraic thinking is challenging for students. One notable difficulty for students is understanding algebraic symbols--pronumerals. Researchers are exploring pedagogical approaches in seeking to address this issue. The current paper is contributing to this body of literature by illustrating how an online card…

This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…

The School of Engineering of the Polytechnic of Porto (ISEP) has embraced the DrIVE-MATH project, since September 2017. Active-learning (AL) techniques were implemented in several Math courses, namely Linear Algebra and Analytic Geometry, Probability and Statistics, Statistical Models, Computational Mathematics, and Differential and Integral…

This article describes how two high school algebra teachers and their students focused on examining population trends affected by the creation of a highway though a thriving African American community. The authors adopted Dr. Gholdy Muhammad's (2020) culturally and historically responsive literacy framework to guide their anti-racist mathematics…

Algebra is considered by many to be a gateway to higher-level mathematics and eventual economic success yet students with and without disabilities often struggle to develop algebra skills. This study builds on the limited understanding of how virtual manipulatives support students with disabilities in the area of algebra by investigating their use…

The aim of the research is to identify the effectiveness of using a proposed strategy according to the (Marquqrd) model in the algebraic thinking skills of second-grade intermediate students in the schools of the General Directorate of Education in Babylon. To achieve the goal, the following null hypothesis was formulated: There are no…

Help-seeking is a valuable practice in online discussion forums. However, the asynchronicity and information overload of online discussion forums have made it challenging for help seekers and providers to connect effectively. This study formulated a new method to provide fair and accurate insights toward building a peer recommender to support…

Beginning with the class of 2023, Pennsylvania high school students will need to demonstrate career or postsecondary preparedness to meet statewide graduation requirements and receive a high school diploma. The new graduation requirements were enacted in 2018 by Pennsylvania's Act 158. They are intended to codify high standards for all students…

This study examined factors contributing to the underrepresentation of Black students in STEM majors and fields. The author used social cognitive career theory to explore the factors that most influence the majority of Black students' algebra test scores and the potential relationship between those scores and a student's intent to pursue a college…