The concrete-representational-abstract (CRA) approach is an instructional framework for teaching math wherein students move from using concrete materials to solve problems to using visual representations of the materials, and finally abstract concepts. This study provides a literature synthesis and meta-analysis of the effectiveness of the CRA…

This study explores how three widely used US kindergarten mathematics textbooks, each written to align with the Common Core State Standards for Mathematics (CCSSM), vary in terms of content coverage, instructional grouping, and use of representational strategies. Results show that all textbooks (i) primarily emphasize math practices related to…

This study investigated the noticing of teachers who teach mathematics at different grade levels in the context of lesson study. The study specifically focused on teachers' noticing during the planning phase of the lesson. For this, the lesson planning phase of a group of four teachers consisting of kindergarten and primary school 1st grade…

There is a severe shortcoming in science programs in kindergartens in Saudi Arabia. Therefore, this paper presents a conceptual framework for teaching physics concepts to kindergartens to contribute to the consolidation of scientific knowledge by stimulating the skills of inquiry, problem-solving and scientific thinking among children. The…

It has become increasingly clear that the early use of decomposition for addition is associated with later mathematical achievement. This study examined how younger children execute a base-10 decomposition strategy to solve complex arithmetic (e.g. two-digit addition). 24 addition problems in two modalities (WA: Written Arithmetic; OA: Oral…

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

In recent years, the learning and teaching of combinatorics presents particular educational research interest from the primary up to higher education levels. The combinatorial problems constitute a valuable opportunity for mathematical exploration, as combinatorics is a branch of mathematics with many applications, providing a complex network of…

Research in science in early childhood is an area that has not received much attention (Fleer, M., & Robbins, J. (2003). "Hit and run research" with "hit and miss" results in early childhood science education. "Research in Science Education," 33, 405-431.) and it has been reported that early children teachers lack…

The purpose of this study was to explore problem solving with kindergarten students. This line of inquiry is highly significant given that Common Core State Standards emphasize deep, conceptual understanding in mathematics as well as problem solving in kindergarten. However, there is little research on problem solving with kindergarten students.…

Mathematics problem solving provides a means for obtaining a view of young children's understanding of mathematics as they move through the early childhood concept development sequence. Assessment information can be obtained through observations and interviews as children develop problem solutions. Examples of preschool, kindergarten, and primary…