Around the globe, young students are expected to learn about time, yet how is it that they themselves make sense of this topic? From a sociocultural perspective, sense-making about time emerges in relation to properties of available tools and representations, such as analog clocks or digital notation. Such interactions with the symbols and…

This article investigates the interplay of time words with how children position hands on an analog clock. Using a mathematics discourse framework (Sfard, 2008), we analyzed how students interpreted precise (e.g., 2:30) and relative (e.g., half past 11) times, finding that particular words are dynamically interwoven with activity. Interviews with…

One way to recognize how mathematical lessons can be stimulating for children is to interpret them as stories. If mathematical lessons follow a structure similar to that of a story, they can build anticipation, create surprise, and even generate intrigue (Egan 1988). To support the design of mathematical lessons with these types of aesthetic…

Despite growing up in a world that is permeated by mathematics, students graduating from US schools are woefully unprepared for the mathematical challenges that await them in the workplace or in higher educational pursuits. Mathematical competencies underpin not only success in college but also increase job opportunities for students after…

Spatial-Temporal Math (ST Math) is game-based, instructional software for K-12 students created by the MIND Research Institute (MIND). ST Math is integrated into classroom instruction, but can also be used in a computer lab or at home. The ST Math software games begin without language and symbol abstractions by posing math programs as purely…

This paper examines whether using "From Here to There!" ("FH2T:E"), a dynamic game-based mathematics learning technology relates to improved early algebraic understanding. We use student log files within FH2T to explore the possible benefits of student behaviors and gamification on learning gains. Using in app measures of…

The Collaborative for Academic, Social, and Emotional Learning (CASEL) has produced a series of briefs documenting insights from their efforts to understand how educators and researchers can build relationships that support a shared action research agenda around social and emotional learning (SEL). This five-part series shares the perspectives of…

It has long been argued that U.S. states' differential performance on nationwide assessments may reflect differences in students' opportunity to learn the tested content that is primarily due to variation in curricular content standards, rather than in instructional quality or educational investment. To quantify the effect of differences in…

"enVisionMATH," published by Pearson Education, Inc., is a core curriculum for students in kindergarten through grade 6. The program seeks to help students develop an understanding of math concepts through problem-based instruction, small-group interaction, and visual learning with a focus on reasoning and modeling. Differentiated…

School leaders in the United States live in an educational era characterized by a desire for and expectation that all students attain high levels of academic proficiency. There is an increased reliance on all types of educational assessment as a key component to help school leaders attain that goal. The purpose of this study is to understand how…

This Framework builds upon the foundation of the 2010 Massachusetts Curriculum Framework for Mathematics as well as versions of the Massachusetts Mathematics Framework published since 1995. The current Framework incorporates improvements suggested by Massachusetts educators after six years of experience in implementing the 2010 standards in their…

This study examined how small groups of second-grade children developed understandings of the concept of congruence while collaboratively exploring and solving problems with dynamic representations of triangles using Sketchpad on the iPad. One case study is presented to illustrate how young learners can infer geometrical relationships between…

In early November 2013, the authors started talking about visiting the Hurley School, a dual-language school in Boston, Massachusetts. The Hurley School had spent considerable time transitioning to the Common Core State Standards on literacy, but little time addressing the shifts in math. They worried that math classes were no longer rigorous…

The How Far Do You Think You Can Jump? activity (see EJ1174770) was completed in three different contexts: an after-school mathematics enrichment program at Woodland and Country Schools in Weston, Massachusetts; a small-group pull-out of second graders at Wren Elementary in Piedmont, South Carolina; and a family math night in Lafayette, Indiana.…

"Investigations in Number, Data, and Space"[R], published by Pearson Scott Foresman, is an activity-based K-5 mathematics curriculum designed to help students understand number and operations, geometry, data, measurement, and early algebra. Each instructional unit focuses on a particular content area and lasts from two to five-and-a-half…