Instruction of multiplication facts has been and continues to be an essential part of mathematics curriculum for students in the intermediate grades with the majority of initial instruction at third grade. Teachers often comment that this is a topic that students struggle to master and that they frequently use fluency drills and fact flash cards…

In this article, the authors present a brief description of the different views of the "nature of mathematics" (NOM), share a five-point view of NOM that undergirds the teaching profession's guiding documents, and describe ways of providing opportunities for teachers and students to have conversations in the classroom that build…

Members of a third-grade class were involved in a heated discussion. They were using a fixed number of links to create fences for toy cows. The children could change the shape of the field produced by the links, but they could not add any links or take any away. Understanding the relationship between perimeter and area is a difficult concept for…

Learning progressions detail the incremental steps that students take as they learn to master a skill. These progressions are based on developmental research about how students learn and how their thinking develops as a result of instruction. A typical progression not only describes the stages that students must master, but it also shows what…

With the adoption of the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), many concepts related to area are covered in third grade: (1) Recognizing area as an attribute of a plane figure; (2) Understanding that a square with a side length of one is a unit square; (3) Measuring area by tiling figures and counting the squares it…

Playing games in the mathematics classroom has seemingly become unfashionable. Is it that games suddenly are regarded as "lacking in purpose"? Maybe games are seen as incompatible with the "lesson plan and objectives"? Or is it that games and learning are not two words that are expected to appear in the same sentence? Prepare for the mythology…

Throughout the school year I invited children in a Grade Two/Three learning strategies classroom to participate in a visual narrative inquiry. The intention was to explore children's knowledge of community in artful ways; the children photographed and wrote in what was often an iterative process, where writing/talking and photographing…

Learning pathways capture the development of competence in a mathematical domain. They have been developed from empirical studies in the areas of mental computation and emergent numeracy concepts. These pathways afford teachers the opportunity to identify students' current levels of understanding, antecedent understandings and the steps that are…

An action research study was conducted using the Rainbow Dots strategy to evaluate its effectiveness on reading comprehension skills in a third-grade class with students both with and without a specific learning disability. Results of the study indicated that students' overall performances in reading comprehension have increased. Students also…

Problem solving lies at the heart of mathematical learning. Children need opportunities to write, discuss, and solve problems on a regular basis. The problems must incorporate grade-appropriate content and be "accessible and engaging to the students, building on what they know and can do." Teachers also play a key role in establishing a classroom…

Describes Baltimore County (Maryland) Public Schools' integration of a mastery learning project for third and fourth graders begun in 1980 with a subsequent thinking skills project. The basic premises of each program (that students will learn well, given time and appropriate instruction) were similar. A sidebar illustrates the divergent…

Argues that providing students with a repertoire of important learning strategies is one crucial way of helping all students to become independent readers, thinkers, and learners. Describes a third grade reading environment and the practices of the Students Achievement Independent Learning Program (SAIL). (PRA)

Second and third grade students used the creative problem solving strategy developed by Sidney Parnes and Alex Osborn in their social studies classes. The second graders, finding few biographies written for students reading on a first or second grade level, interviewed community members, collected photographs of them, and wrote their biographies,…

Describes one teacher's inclusion of the Morning Meeting concept in her third-grade classroom and relates student success in standardized testing to its implementation. Provides detailed information on Morning Meeting including its structure, rationale, and influence; includes an argument for immediate implementation. Concludes by asserting that…

This report describes the first year of an ongoing intervention study and the learning of a group of practicing teachers working together with researchers to make changes in the ways they teach mathematics. When reflecting on their beginning efforts, the researchers found that several assumptions in their planned interventions were not borne out…