"Inclusive Practices in Today's Schools" provides readers with a firm grounding in critical special education concepts, an understanding of the professionals who support students with special needs, knowledge of the procedures that should be followed to ensure that students with special needs rights are upheld and a wealth of…

In a classroom teaching experiment, we explored fifth graders' ability to identify relationships in and between two patterns--what we may refer to as functional relationships. Conventional functions curricula are dominated by defining relationships between two patterns via a rule, describing how to find y or f(x) given a particular value for x…

Guessing, for Pólya, is an important way of getting an initial handle on a mathematical problem. An argument can be made to place guessing in any one of the first three steps of the four-step approach to problem solving as described in "How to Solve It" (Pólya 1945). It could be a part of understanding the problem, devising a plan, or…

After teaching the concept of division with remainders for many years, Vanessa Battreal, Vanessa Brewster, and Juli Dixon noticed that interpreting remainders in contextualized problems is particularly challenging for elementary school students. To effectively interpret remainders, students must attend to problem context and consider carefully…

Innovative teaching concepts such as problem-based learning (PBL) can make a difference in an academic setting, particularly when dealing with diversity, and support the successful completion of students' studies. Introducing new approaches to teaching requires the professionalization of the teaching staff and the development of new tools. As a…

Multiplicative thinking is widely accepted as a critically important 'big idea' of mathematics that underpins much mathematical understanding beyond the primary years. It is therefore important to ensure not only that children can think multiplicatively, but that they can do so at a conceptual rather than procedural level. This paper reports on a…

The aim of this study is to determine the teaching activities of pre-service teachers in the course of mathematics teaching methods. All of the pre-service teachers have selected an attainment content from the primary (1-4) mathematics education curriculum at the beginning of the semester in the scope of mathematics teaching methods course. Data…

We live in the challenging times of the 21st-century with the increased need for humans to possess specific skills that will help them to be successful in this era. This means that education should in learners, develop these skills effectively. Different global countries have begun to recognize the significance of multiple solutions tasks in the…

A reflective practitioner is an active individual who explores the possibilities of solving problems in practice and who is characterised by being reflectively open to reexamining their own opinion. The authors of this paper start from the premise that the process of education, however consistent and well-founded it may be, is exposed to constant…

According to the Association of Mathematics Teacher Educators (AMTE, 2017), teachers should first try to see problems through their students' eyes, anticipate, understand, and analyze students' varied ways of thinking, and respond appropriately. In this study, we engaged preservice teachers (PTs) in planning to implement problem-solving tasks;…

Background and Context: Subgoal labeled worked examples have been extensively researched, but the research has been reported piecemeal. This paper aggregates data from three studies, including data previously unreported, to holistically examine the effect of subgoal labeled worked examples across three student populations and across different…

In this study, customized videos and chapter handouts served as pre-class materials for semi-flipped General Chemistry II courses. Face-to-face class time involved engaging students in interactive problem-solving sessions on the board with the instructor and collaborative group activities. During the interactive problem-solving sessions, students…

Students in upper secondary education encounter difficulties in applying mathematics in physics. To improve our understanding of these difficulties, we examined symbol sense behavior of six grade 10 physics students solving algebraic physic problems. Our data confirmed that students did indeed struggle to apply algebra to physics, mainly because…

Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

COVID-19 shut down our university and sent us into remote learning. My elementary social studies methods teacher candidates and I sought to make sense of the ensuing chaos. Fueled by the threat of COVID-19 and growing issues of racism, I designed a focused, inquiry-based lesson using the Inquiry Design Generator of the C3 Framework (NCSS, 2013) to…