The materials and artefacts used by teachers and students for learning mathematics have always had an important role in mathematics education. Key among such materials are textbooks and teacher guides. The study presented in this paper attempts to investigate the interaction between mathematics teachers and the teacher guide as well as its…

In the United States, the first course in single-variable calculus is considered tertiary level mathematics. Initially offered in high schools as a means for strong students to do college-level work, it is now taken by over 20% of high school students and perceived to be a prerequisite for admission into selective colleges and universities. This…

Females are underrepresented in all levels of physics, while a simultaneous need exists to increase the physical science workforce pipeline. A review of current literature found exposure to more advanced pSTEM courses might influence students to pursue those career-fields, however enrollment in Advanced Placement (AP) Physics remains…

As technology becomes more advanced, it becomes more tempting for teachers to integrate it into their lesson planning. Although technology can be beneficial to student learning, there are issues that arise as barriers during this integration of technology into the classroom. Some of these barriers include students becoming distracted and using the…

Not enough research has been conducted to determine what can support and encourage successful African-American students in mathematics. Many environmental and personal factors have been identified that may impact the success of African-American students in mathematics but studying and relating these factors at a qualitative level would benefit…

Alignment between standards and assessments is acknowledged to be the key factor in a standard based education system. In Pakistan, standard based curriculum was adopted for secondary classes for the session 2012-13 onward and this study was conducted to explore the alignment between the secondary school mathematics curriculum and the assessments…

Engaging with mathematical modeling can support learners to collaboratively explore mathematics in integrated ways as well as generate mathematical ideas and representations that may be useful in everyday life. Although several studies provide diverse insights into teaching and learning mathematical modeling, research has yet to be conducted on…

The rules of indices, e.g. a[superscript n] b[superscript n] = (ab)[superscript n], are a particularly important part of elementary algebra. This paper reports results from a textbook analysis which examined how the shift from integer to rational exponents in the rules of indices is discussed in school textbooks. The analysis also considered…

The empirical law of large numbers is an important content in secondary school mathematics. Tasks used to analyze students' understanding of this law are often based on the hospital problem, but vary in various features, leading to mixed and conflicting empirical results. To identify task features that support students when approaching this type…

We analyze the process of constructing a definition within the theoretical framework of "Abstraction in Context." Pairs of students were engaged in a task designed to engender a need for a definition of a tangent to a graph at a given point, and lead to constructing a definition following that need. The results of our analysis point to…

Inside the discipline, mathematical work consists of the interplay between stating and refining conjectures and attempting to prove those conjectures. However, the mathematical practices of conjecturing and proving are traditionally separated in high school geometry classrooms, despite some research showing that students can successfully navigate…

This cross-sectional mixed-methods study found statistically significant differences in responses to 22 of 25 efficacy statements by participants separated into two categories based on their cumulative GPAs at one public high school in Wisconsin. Qualitative comments found limited results. Results of this study provide recommendations for geometry…

A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

"When you hear hoofbeats, look for horses, not zebras." This common saying in medicine (often attributed to Theodore Woodward, MD, of the University of Maryland School of Medicine) advises doctors to stick to the expected or likely diagnosis, rather than anticipating an unusual or atypical one. As a result, uncommon medical diagnoses are…

This article shares the learning experienced by my seventh-grade students during a lesson incorporating LEGO robotics into my mathematics class. I provide evidence of my students' learning, which represents how LEGO robotics can benefit students in the mathematics classroom to support engagement and development of understanding.