Teaching observation protocols serve purposes beyond research, such as providing formative feedback for teachers' growth in their practice. Such observation tool usage requires different approaches for validation. For this reason, we developed the formative teaching evaluation framework adapted from the student-assessment literature. We used this…

Units coordination, defined by Steffe (1992) as the mental distribution of one composite unit (i.e., a unit of units) "over the elements of another composite unit" (p. 264) is a powerful tool for modeling students' mathematical thinking in the context of whole number and fractional reasoning. This paper proposes extending the idea of a…

As digital technologies become a commonplace in mathematics classrooms, they transform the ways students and teachers interact with mathematics. Students learn to use a technological tool for solving mathematical tasks through a process known as instrumental genesis. Teachers' support for this process is known as instrumental orchestration. In…

While many community college (CC) students come to higher education with specific career or life goals, these aspirations may be forced to change if students are not able to get past the gatekeeper of remedial mathematics coursework. Racially minoritized students are disproportionately tracked into non-credit-bearing remedial (NCBR) mathematics…

Prior research suggested that all students were not treated equally in the educational setting and that boys perform better than girls on standardized tests. The purpose of this quantitative study was to examine how class composition affected performance on the math section of the Educational Records Bureau (ERB) test and Preliminary SAT (PSAT)…

This dissertation seeks to investigate how digital gestures connect to students' mathematical understanding when playing "From Here to There!" (FH2T). This investigation explores the intersection of three fields, game-based learning, embodied cognition, and mathematics education. I used three studies which break down the different…

Mathematics was considered to be a universal language that God used to write the book of nature. Many of the greatest mathematicians (such as Descartes, Leibniz, Euler, Cantor) saw their mathematical work as a way to have a clearer insight into the existence of God and His infinity, as well as to glorify His name. This paper explores the…

This paper examines Black Algebra I educators' perceptions of their experiences in a professional learning community, "Algebra I Academy," designed specifically to equip Black Algebra I educators with liberatory pedagogical practices for their instruction with Black students taking Algebra I. Utilizing survey and focus group data from…

Persistence represents a crucial trait in learning. A lack of persistence prevents learners from fully mastering their current skills and makes it difficult for them to acquire new skills. It further hinders the administration of effective interventions by learning systems. Although most studies have focused on identifying non-persistence and…

In this article the author describes an intervention program for students who were approximately six months behind expected standards. The program, "Prepare 2 Learn," had four components: building prior knowledge; developing mental computational fluency; encouraging a growth mindset; and meta-cognitive strategies. The qualitative data…

How can we use math to understand--and solve--challenges in our world? In "What We Do When Fairness Fails Us," Moises, Marissa, and Astrud realize that a specialized high school uses a lottery for admission that prevents many qualified students from attending. As they research how lotteries work, they come across videos by Federico…

Students in elementary school have trouble grasping skills in mathematics due to a lack of foundational skills including adding, subtraction, multiplication, and division. When students struggle with mathematics skills, it may impact their standardized assessment. The purpose of this triangulation mixed-method study was to identify the…

Using mathematical modelling to solve problems appears in all year levels in the Australian Curriculum: Mathematics (v. 9), and is probably the most authentic way of teaching mathematics in context. However, the term mathematical modelling, even if familiar to teachers, may not be well understood or enacted confidently by teachers in their…

The low results of learning mathematics from year to year give rise to suggestions for students that mathematics is a difficult lesson. This needs to be researched to find out the relationship between mathematics learning attitudes, anxiety, habits, and additional mathematics learning outcomes. Quantitative research method with a survey approach.…

Purpose: College placement assessments in the USA have underperformed in predicting college readiness. This has prompted a wave of reforms to placement practices and policies. Recently, student preparation for placement assessments has come to the forefront as a means for enabling better evaluation of college readiness. In this study, the authors…