The subjects of science, technology, engineering, and math (STEM) have grown in importance because they are fundamental to the future quality of life and the ability to compete in today's global society. The demand for STEM careers is increasing; however, the United States is having difficulty meeting this demand. Society needs students who can…

Educational leaders often search for professional development opportunities that are within the context of the classroom where new research-based instructional practices can be observed and incorporated into the teachers' practices. Instructional coaching and co-teaching have been recognized as means for accomplishing this, while at the same time…

This latest book in the bestselling Mathematics Recovery® series gives mathematics educators a complete research-based framework for assessment, instruction and intervention in whole number arithmetic across grades K to 5. The integrated set of classroom tools includes: (1) Nine carefully designed schedules of assessment tasks; (2) Nine models of…

This study investigated how six Year Four (9-10 years old) students interacted with a dynamic (zoomable) digital number line to demonstrate knowledge and understandings of decimal fractions. Results from a task-based interview indicated that the zoomable number line is able to assist students in developing conceptual understandings of decimal…

Guided inquiry pedagogy is gaining recognition for promoting deep learning as students connect concepts, understandings and meanings to defend and justify their mathematical ideas. Research describes how it promotes the development of deep understandings, yet the approach can seem at odds with explicit teaching pedagogies that show potential for a…

Within the broad area of whole number operations, understanding and solving word problems continues to be an important area of inquiry. In the present study we draw on the framework of representational fluency to examine conceptual and procedural understandings that are exhibited by a group of Malaysian seven-year-olds as they attempted to solve…

Twenty-four Grade 5 students participated in clinical interviews where they solved integer multiplication number sentences. Drawing on the theoretical perspective of strategies that students use with whole number multiplication and integer addition and subtraction, we describe the strategies that students employ when negative integers are…

In primary education, a variety of teaching methods, such as enhanced and discovery learning, have had a significant influence on student achievement, particularly in mathematics. Several studies have discussed the positive effects of the appropriate use of technology in the classroom on student achievement. The main purpose of the current study…

As remote learning technologies play an increasingly larger role in education, clear evidence of effectiveness is needed for widely used online learning technologies, such as Assessment and LEarning in Knowledge Spaces (ALEKS). By adapting to individual students' knowledge states and personalizing interactive practice and feedback, ALEKS may…

This study used hierarchical linear modeling to examine the relationship between an internet-based mathematics formative assessment and data from a mathematics summative assessment for primary grade learners (ages 5-7). Results showed a positive relationship between formative assessment data related to the concepts of counting and decomposing…

Many studies conducted in the last decades report that very few elementary-grades students understand the meaning of = in mathematics, and that upper-elementary students do not understand it any better than the lower-elementary students do. Using data from thousands of Florida elementary students, we show that students in Florida perform ten to…

The U.S. is deficient in producing science, technology, engineering, and math (STEM) professionals. Competent problem solving is a desirable educational outcome pertinent to STEM education. Research has demonstrated the effectiveness of teaching task-specific problem-solving skills using behavior-analytic tactics. Learners have been taught to…

With the increased focus on computational thinking (CT) in education, it is important to investigate the affordances that CT may offer to support teaching and learning. This paper outlines five affordances of CT that may support elementary mathematics education, whose conceptualization was refined in a year-long study involving eight Grades 3-4…

It has become a truism to state that mathematical knowledge or "meaning" and the norms and practices of (school) mathematical communities are negotiated and socially constructed before individuals construct (internalize) them for themselves. In this study I suggest that the social in existing conceptualizations is based on a trivial…

Teacher questioning is a very important aspect of teacher-student interaction in classrooms around the world. However, expectations of the purposes and types of these interactions can be variable, particularly across cultural contexts. This qualitative study considers the way teacher questioning is used in a mathematics class in a Chinese primary…