All students want to talk about ideas that interest them, but often, multilingual learners are not offered high-challenge, high-support opportunities to connect everyday experiences to mathematical ideas. We describe a single class period that connects students' everyday opinions with two-way tables and notions of independence.

This paper presents ideas for constructing mathematics homework assignments based on lessons from the cognitive science of learning and memory. In particular, we focus on two popular techniques from the field: spaced practice and mixed practice. The paper describes the techniques and supporting research, and then discusses various straightforward…

Last year educators nationwide met the challenges of hybrid teaching and intensive block scheduling and gained a deeper understanding of the extensive inequities that so many communities face. Educators and students alike were asked to completely rethink schooling as the pandemic laid bare a fundamental question: What should education look like in…

Interactive web-based applets have proven effective in teaching statistics. This article presents new implementations of web-based applets primarily targeting a traditional introductory statistics course in two particular areas: (a) using real-time response data to engage students in simulations and (b) generating randomized datasets for…

Nowadays, it is not common to come across sectors that can work and succeed without using information technology (IT). IT has now become a part of organizations' management and strategic decision-making mechanisms. Therefore, organizations make serious investments to develop software and system infrastructures and transfer business processes to…

Teachers are increasingly adopting flipped instruction for individual lessons or even entire courses. Typically, flipped instruction involves a teacher assigning videos for homework and then using in-class time for students to solve problems--that is, the settings for content delivery and completing assignments have "flipped." In…

Computer programming and mathematical algorithms are natural partners in the development of programming skills, logical thought, and a deeper understanding of mathematical concepts. We present the details of a course which blends the two at the sophomore level. This course is required of our mathematics majors, but attracts mathematics minors from…

Sequences are an important topic--not only in mathematics but also in the mathematics curriculum. Exploring sequences related to medial triangles offers learners opportunities to solve problems involving sequences within geometric contexts. Sequences related to medial triangles are also a rich source of beautiful and interesting geometric patterns…

Homework gives students the opportunity to practice new skills in both familiar and unfamiliar situations, and to develop an understanding of related concepts. Although some of these goals can be easily accomplished in online homework, many systems are less useful for handling open-ended questions. Written homework, on the other hand, takes time…

Storytelling has proved to be an effective way of passing on information from one generation to the next. Whether the information relates to history, culture, health, or morality, the story provides a framework so that complex ideas can be better understood and retained. In this article, we consider the role of narrative in the design and…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

This article picks up on the notion of science capital (see Mytum-Smithson and Howell (2019) on p.55 in this issue) and demonstrates how homework can be used to support its development. Science capital is an increasingly discussed term within some education camps and one that fashionably describes the 'science baggage' that children carry with…

Through a series of explorations, this article will demonstrate how the Kentucky Derby winning times dataset provides various opportunities for introductory and advanced topics, from data processing to model building. Although the final goal may be a prediction interval, the dataset is rich enough for it to appear in several places in an…

During the COVID-19 epidemic, how to use online education platforms to teach and ensure the effectiveness of home study for students is a topic of concern for many high schools. During the epidemic, Guiyang No.1 Middle School used the information management platform, based on the actual situation of the school, combined multiple resources, and…

This work presents 'Dove sta di casa la scuola', an online course for teachers promoted by the Small School Movement during the COVID-19 emergency. The course aimed to provide alternatives to lecture-based distance learning using the domestic environment as a context for 'low-intensity' digital learning. Such an experience, involving 7000 Italian…