The National Council of Teachers of Mathematics (NCTM) emphasizes the teaching of "Big Ideas" in mathematics. This study focuses on the part-part-whole (PPW) relationship as a crucial aspect of word problem solving involving addition and subtraction. This study, conducted in the United States, evaluated the effects of conceptual…

The U.S. Nation's Report Card reveals that lower performing students exhibited greater achievement decline than their average/high performing peers based on 2022 long-term trend mathematics assessments for age 9 students. Technology, including computer-assisted instruction, plays an important role in today's dynamic learning environments.…

The early prediction of math difficulties (MD) is important as it facilitates timely support. MD are multifaceted, and several factors are involved in their manifestation. This makes the accurate early prediction of MD particularly challenging. In the present study, we aim to predict MD in Grade 6 with kindergarten-age (age 6) measures by applying…

Students with learning disabilities/difficulties in mathematics often apply ineffective procedures to solve word problems. Given that current mathematics curriculum standards emphasize conceptual understanding in problem solving as well as higher-order thinking and reasoning, the purpose of this study was to evaluate the impact of a model-based…

Background: A large evidence base suggests that without effective early intervention, young children who exhibit persistent challenging behavior often face a host of long-term social and academic challenges (Bulotsky-Shearer & Fantuzzo, 2011; Hauser-Cram & Woodman, 2016; Kazdin, 1995; Lane et al., 2008; Miller et al., 2017). Challenging…

This study invested 24 effective and 16 ineffective problem-solving kindergarten children's awareness of metacognitive self-regulated learning (MSRL) while watching other child's problem-solving behaviors. The model in a video performed a task with a trial-and-error approach and finally asked for help. After watching the video, children were asked…

Investigators often rely on the proportion of correct responses in an assessment when describing the impact of early mathematics interventions on child outcomes. Here, we propose a shift in focus to the relative sophistication of problem-solving strategies and offer methodological guidance to researchers interested in working with strategies. We…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

The purpose of this study is to explore preservice teachers' (PTs') ability to implement multiple strategies using standard algorithms and alternative strategies and to investigate their conceptual knowledge of decimal operations. There were 37 PTs who participated in this study, all of whom attended a mathematics course in the K-8 Teacher…

Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting…

Purpose: The purpose of this study was to further evaluate an eight-step partner instructional model developed by Kent-Walsh and McNaughton that has been demonstrated to improve implementation quality and fidelity among adults in clinical and educational settings who support the use of augmentative and alternative communication (AAC) for…

The "Next Generation Science Standards" ("NGSS") have placed an emphasis on the incorporation of engineering practices into K-12 science instruction. This article details a sequence of physical science lessons that would be part of teaching matter in the second-grade classroom. The goals of these lessons are: (1) to be hands-on…

America's most popular science curriculum, the Next Generation Science Standards (NGSS), fails students. This report details how the popular curriculum omits basic tenets of science, including the scientific method, and provides recommendations to correct deficiencies in the NGSS.

The International Technology and Engineering Educators Association's (ITEEA's) "Standards for Technological and Engineering Literacy" ("STEL") describes design thinking as an approach that allows students and educators to integrate other content areas by considering relevant contextual information to guide design and making…

Current teacher preparation programs have received scrutiny for failing to sufficiently support teachers in valuing and developing their knowledge of data literacy. The current study explores a collaborative approach to increasing pre-service teachers' experiences with data literacy by including under-utilized data experts: school psychologists.…