This paper describes Alkaline, a size-reduced version of Kyber, which has recently been announced as a prototype NIST standard for post-quantum public-key cryptography. While not as simple as RSA, I believe that Alkaline can be used in an undergraduate classroom to effectively teach the techniques and principles behind Kyber and post-quantum…

Through a qualitative analysis of data collected over four years of design-based research on the implementation of a reform-oriented mathematics curriculum, this study describes two sixth-grade teachers' changing views of the role and place of reading in mathematics instruction. The findings reveal the evolution of the teachers' perspective on…

We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…

Research indicates that many English learners (ELs) have not been effectively supported in meeting their academic learning goals. This explains, in part, the growing interest and corresponding research on the essential teacher knowledge-base for teaching ELs. Despite the attention paid to this issue, research on preservice teachers' reasoning and…

This article examines prospective elementary teachers' conceptions of unitizing with whole numbers and fraction concepts and operations throughout a semester-long mathematics content course. Student work samples and classroom conversations are used to illustrate the types of unitizing understandings that prospective teachers bring to teacher…

This paper describes the development of a coding guide that was used to evaluate the use of information and communications technologies (ICT) in student assignments. Instrument design and pilot-testing was conducted in a Hong Kong Chinese primary government-subsidised school (I-School) with a school-based e-learning project. The design of the…

Question asking is an important part of the learning process. One of our goals as educators is to encourage students to ask questions that focus on developing conceptual knowledge, but to do this, we first need to better understand the factors involved in student question asking. This study looks in depth at one high school mathematics teacher who…

In this article, the author contributes to the growing body of scholarship on critical mathematics pedagogy. In particular, the author advances this scholarship by outlining how critical pedagogy in the mathematics classroom can support students to engage in transformational resistance. Using a critical practitioner research approach, the author…

Helping low-achieving students with learning disabilities and/or emotional-behavioural difficulties to develop the component skills for Self-Regulated Learning (SRL), such as setting and monitoring learning goals, is important for their success, both in and beyond school. This study examined the effects of a goal setting intervention on…

This paper discusses upper primary school teachers' perspectives on changes to their knowledge and practice through participation in a design-based research project. It analyses their experiences using Clarke and Hollingsworth's (2002) empirically-founded model for professional growth to understand more about the mechanisms for change that might…

Beyond common associated factors, such as teacher characteristics and socioeconomic background of students, little is known about how student achievement relates to differences in the pedagogical approaches used in Latin American classrooms. This paper highlights the main findings from a qualitative study on cross-country differences in teaching…

The main goals of this article are twofold. The first is to explore whether the General Education Development (GED) program has the potential to meet the academic requirements cited by the scholarship in the area of mathematics for First Nations upgrading programs. Secondly, this paper explores how the GED program influences identity in students…

Much attention during the past decade has been given to the need to develop a well-trained early childhood education workforce. In order to address this need, the Illinois Board of Higher Education (IBHE) awarded Early Childhood Educator Preparation Program Innovation (EPPI) grants to institutions of higher learning. The IBHE funded partnerships,…

The purpose of this study was to explore the use of a cognitive computer tool by undergraduate calculus students as they worked cooperatively on mathematical tasks. Specific attention was given to levels of cognitive demand in which the students were engaged as they completed in-class labs with the assistance of MathCAD. Participants were assigned…

This document offers instructional materials for a 32-hour course on math operations involving graphs/statistics, measurement (English and metric), geometry, exponential notation, and scientific notation as applied in the workplace. The course was part of a workplace literacy project developed by Mercer County Community College (New Jersey) and…