This qualitative exploratory case study delves into learners' understanding of differentiation through the first principle and power rule. The study adopted the action, process, object, and schema (APOS) theory as a lens to track learners' understanding of these concepts using the activities, classroom discussion, and exercise (ACE) teaching…

This study examines the impact of early Algebra I coursework on advanced Carnegie credits among 12th graders from diverse racial/ethnic backgrounds, using data from the NCES HSTS (1990-2019). Findings indicate that early Algebra students, particularly Black and Latinx, earn more advanced credits, revealing a widening gap in advanced course…

Secondary course assignment substantially determines a teacher's day-to-day work life, incentivizing them to realize their personal desires, which prior work shows tend to be working with more advanced students. Teachers have varying abilities to enact these desires, potentially due to their political capital, which is largely influenced by…

This work aims at investigating the educational potentialities of mathematical memes, digital objects belonging to students' out-of-school culture, in combination with classic educational objects as GeoGebra applets. To pursue our goal, we observed a group of 29 12th-grade students who design, create and interact with mathematical memes and…

Math consists of many components such as arithmetic, algebra, geometry, trigonometry, statistics, where each component holds its importance in the field of math. Students of Grades 11 and 12 are at an important stage in their career, where the attitude and performance in math determines their future choices. Therefore, the aim of this study was to…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Students in secondary school often struggle with symbol sense, that is, the general ability to deal with symbols and to recognize the structure of algebraic formulas. Fostering symbol sense is an educational challenge. In graphing formulas by hand, defined as graphing using recognition and reasoning without technology, many aspects of symbol sense…

Conceptual understanding of calculus is crucial in the fields of applied sciences, business, and engineering and technology subjects. However, the current status indicates that students possess only procedural knowledge developed from rote learning of procedures in calculus without insight of core ideas. Hence, this paper aims to assess students'…

We investigated how high school mathematics course placement contributes to inequalities in college preparation for students categorized as "English Learners" (ELs), especially "long-term" English Learners (LTELs). We devised a base-2 enumeration approach that allowed us to process complex transcript data from one school…

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

This paper reports the results of a research exploring the mathematical connections of pre-university students while they solving tasks which involving rates of change. We assume mathematical connections as a cognitive process through which a person finds real relationships between two or more ideas, concepts, definitions, theorems, procedures,…

This study examined the relationship between algebraic competences and emotional intelligence of first year Bachelor of Science in mathematics and science education students at Copperbelt University in Zambia. All (143) first year Bachelor of Science in mathematics and science education students, in 2016, were purposively selected for the study.…

Purpose: The purpose of the study was to evaluate the implementation and impact of the IDEA Public Schools' Mathematics Curriculum Redesign (MCR) effort, funded by an Innovation and Research (EIR) grant. Methods: The study used a quasi-experimental matching design to examine the effect of MCR on student achievement outcomes. The study compared…

In this paper the author investigates how the one-year math throughput rate of community college students varies according to the highest level of math completed in high school, with a particular focus on the implications of successfully completing Algebra 2 while in high school. Community college math throughput rates for students with different…

Too many students do not learn algebra and therefore do not graduate from high school. This basic qualitative study conducted in a large suburban public school district explored the perspectives of high school seniors who were at least 18 years old and at risk for not graduating from high school because they had not demonstrated an adequate…