In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Automatic short answer grading is an important research direction in the exploration of how to use artificial intelligence (AI)-based tools to improve education. Current state-of-the-art approaches use neural language models to create vectorized representations of students responses, followed by classifiers to predict the score. However, these…

The purpose of the study is to evaluate how prospective mathematics teachers (PMTs) modify tasks to facilitate students' learning of pattern generalization through the use of their mathematical knowledge for teaching. Case study, which is a type of qualitative research method, was used to determine the mathematical characteristics that PMTs use…

Conceptual model-based problem solving (COMPS) was tested for its efficacy in teaching a student diagnosed with autism spectrum disorder to solve word problems involving multiplication and division. A single-case, multiple-baseline across behaviors design was conducted. The ability to solve each of three types of multiplication problems examined…

The objective of this article is to describe types of mathematical reasoning evidenced by a middle school mathematics teacher, when answering two generalization questions in a figural pattern generalization task, related to quadratic sequences. Reasoning is delimited from teacher's arguments, reconstructed from a theoretical-methodological…

New challenges in the development of teaching methods lead to a large number of new tools, methods, and approaches to teaching. The structure and functions of a class as a basic social group in education is being radically transformed, becoming more and more virtual especially in COVID-19/post-COVID period. In this regard, this study proposes a…

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved learning outcomes. Most existing approaches for automated student solution analysis and feedback require manually…

Cinquain is a poetic form, or stanza, of five lines that do not rhyme, which follows some strict rules. Cinquain is also considered to be a training means, a method, a technique, an instrument used for reflection, for synthesis of all knowledge on a particular topic (a being, an object, an ensemble of objects), towards developing one's creativity.…

Special educators are urged to use research findings to inform their instruction in order to improve student outcomes. However, it can be difficult to tell whether and how research findings apply to one's own students. In this article, we discuss how special educators can consider the samples and the sampling methods in studies to examine the…

Model-eliciting activities are problem-solving activities that differ from traditional problems as they include non-routine, open-ended, and complicated real-life situations with various solutions (Lesh & Doerr, 2003). According to Lesh, Hoover, Hole, Kelly and Post (2000), a model-eliciting activity must follow certain principles, namely, the…

Purpose: Most educational assessments tend to be constructed in a close-ended format, which is easier to score consistently and more affordable. However, recent work has leveraged computation text methods from the information sciences to make open-ended measurement more effective and reliable for older students. This study asks whether such text…

We taught 4 participants with autism to discriminate between the reinforced and nonreinforced responses of an adult model and evaluated the effectiveness of this intervention using a multiple baseline design. During baseline, participants were simply exposed to adult models' correct and incorrect responses and the respective consequences of each.…

When developing case studies within a longitudinal study of special educational needs provision within the Republic of Ireland, the authors were conscious of the critiques of the use of this approach within educational research. The difficulties associated with generalisation, challenges of ensuring trustworthiness and the possibilities of…

Measuring treatment fidelity is an essential step in research designed to increase the use of evidence-based practices. For parent-implemented communication interventions, measuring the implementation of the teaching and coaching provided to the parents is as critical as measuring the parents' delivery of the intervention to the child. Both levels…

This paper explores strategies for teachers to work with science conceptions, both those consistent and those inconsistent with western science understanding. It emphasises the value of teachers checking their own and their students' prior understanding of concepts to be learnt. A past approach of educators has been to replace old beliefs with new…