We present a new teaching and outreach activity based around the construction of a three-dimensional chart of isotopes using LEGO® bricks. The activity, "binding blocks", demonstrates nuclear and astrophysical processes through a seven-meter chart of all nuclear isotopes, built from over 26000 LEGO® bricks. It integrates A-Level and GCSE…

Mathematics teachers continually look for ways to make the learning of mathematics more active and engaging. Hands-on activities, in particular, have been demonstrated to improve student engagement and understanding in mathematics classes. Likewise, many scholars have emphasized the growing importance of giving students experience with the…

This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…

The use of manipulatives is an essential key to teaching mathematics to young children. Throughout history, different types of manipulatives have been used to aid in comprehension of mathematical concepts including quipu, abaci and pattern blocks. Today, concrete and virtual manipulatives are the tools that early childhood teachers are using in…

A fundamental component of mathematical learning is spatial visualization. To improve their spatial visualization skills, students should be given opportunities to work with two- and three-dimensional objects. The authors describe two activities that use tetrahedra nested within cubes to help improve students' visualization of two- and…

Teachers are using technological innovations--including interactive whiteboards--in pre-K-grade 3 classrooms across the country. An IWB is a wall-mounted, touch-sensitive flat screen. When connected to a computer (or another electronic device) and a projector, it displays enlarged instructional content (such as a math word problem, pictures or…

Recent research indicates that the methodology for teaching English language learners (ELLs) is unique. One approach most commonly used to teach this group in the United States is referred to as sheltered instruction. With Sheltered English Immersion (SEI), middle school teachers simultaneously teach content and language skills. The author will…

This article describes teachers working collaboratively to plan mathematics lessons in a technology-rich environment. Addressing the needs of their diverse students, in particular, English Language Learners and students with special needs, the authors discuss how a technology-rich learning environment influences critical features of the classroom.…

Innovations in technology, along with the growing prevalence of the Internet and its increasing availability in classrooms and homes throughout the world, have created a new class of manipulatives, virtual manipulatives. These "virtual manipulatives" offer a new, enhanced approach for teaching and learning mathematics using manipulatives and…

This is a story about screen interactivity and its magical early influences. It includes a brief history of the evolution of the computer, with examples from contemporary applications in art and museum education. I believe it is important to know about the early days of drawing on the screen to get a sense of the continuum of ideas that has led us…

Nathan entered third grade having already constructed a Generalized Number Sequence (GNS) for whole numbers that enabled him to coordinate sequences of multiples to find a common multiple of two whole numbers. Nathan was able to apply the operations of his GNS to his understanding of part-whole relations and his emerging use of fractional…

This paper describes an approach to mathematics teaching and learning using teacher-constructed "virtual" materials. In this approach, virtual copies of real materials are manipulated with mouse movements to replicate the traditional physical manipulation of real materials. The paper reports on three case studies where the approach was…