This article presents a task providing college students opportunities to build on their high school knowledge of trigonometry to explore parametric equations and inverse trigonometric relationships within a contextual learning ladder problem.

Puzzles involving infinite networks of resistors are an engaging way for students to explore the idea of infinity and self-similarity in physics. Recently K Atkin has described one such puzzle, alongside a solution based on an equivalent finite network (2022 "Phys. Educ." 57 025015). Here we present a generalisation of this problem which…

Engaging in culturally responsive practices is considered best practice in classroom instruction, particularly within diverse schools, however, when making data-based decisions, there is little guidance for culturally responsive practitioners on how to engage in this work. This article introduces a model of culturally responsive data-based…

This brochure describes how the Making Schools Work process employs a distributed leadership approach to involve the whole school in identifying problems that impact achievement and developing plans to solve them. SREB's Making Schools Work school improvement process is grounded in the belief that increased achievement starts with motivating…

Before the COVID-19 pandemic, there were large gaps in Maine's high school graduation rates, high school dropout rates, college persistence, and college completion across socio economic status, racial and ethnic groups, English learner status, and disability status. The pandemic has highlighted and exacerbated existing inequities and challenges,…

This paper describes a high school or introductory university course in scientific programming that introduces the computer revolution into the physics curriculum at the beginning. In the first one-hour lecture, Euler's method is presented and used to compute a solution to the analytically unsolvable two-body problem. In the remainder of the…

Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…

Increasing and decreasing functions can be combined into a quadratic to explore the competing demands of number of sales, price points and profit (or loss). An interesting application of taxation rates is also explored.

The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in…

This latest installment in a series on teacher leadership describes how a learning cycle framework can provide a useful structure to support teacher leaders as they plan and facilitate powerful teacher-led professional learning. Teacher leaders have the potential to use learning cycles to strengthen teacher professional learning, making it more…

In this paper we grapple with the ways in which real-world issues directly impact children's lives and ask "what else" gets produced through encounters with children's global news media, specifically within the contexts of the United Kingdom and Norway. Our aim is to experiment with storytelling and worldling practices as a means to open…

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

Proving a child has been adequately educated is manifest through assessments evaluating the recall of facts or the deciphering of codes. How this information is taught and learned is the issue. Webb's depth of knowledge (DOK) and Bloom's taxonomy are cognitive models that drive instruction in today's classrooms. According to these models,…

The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…

In this article, Scott Smith presents an innocent problem (Problem 12 of the May 2001 Calendar from "Mathematics Teacher" ("MT" May 2001, vol. 94, no. 5, p. 384) that was transformed by several timely "what if?" questions into a rewarding investigation of some interesting mathematics. These investigations led to two…