This guidance report focuses on improving the quality of teaching of mathematics to pupils in Key Stages 2 and 3. The decision to focus on these Key Stages was made after an initial consultation period with teachers, academics, and other stakeholders. Schools are seeking advice on adjusting to a new curriculum, and there is also concern about…

Classroom redesign is being recognized globally as necessary to better increase student's enjoyment levels, engagement, collaboration, and learning. Instead of seeing traditional classrooms in a fixed setting where students are seated in rows facing the front of the room, classrooms are being arranged in multiple ways. As a result of this focus on…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Having a disability can be one of the most marginalizing factors in a child's life. In education, finding ways to meet the learning needs of children with disabilities can be challenging, especially in schools, districts, regions, and countries with severely limited resources. Inclusive education--which fully engages all children in quality…

This report examines the importance and efficacy of oral language, literacy, mathematics, and science preschool curricula and how these curricula can be improved through alignment with research on early childhood development and learning. Detailed, research-driven recommendations are presented for what preschool-aged children should be learning in…

Suggests attaching magnets to posterboard cutouts for use on a metal demonstration board. (MKR)

This paper discusses the use of Stern teaching materials with children with Down syndrome. The theory underlying the design of the materials is discussed, the teaching approach and methodology are described and evidence supporting effectiveness is outlined. (Contains 2 figures.)

Math manipulatives let students see the components of an abstract problem, help build a concrete language for talking about math concepts, and encourage students to gain confidence in their ability to figure things out. Many suggestions for using manipulatives in math instruction are offered. (MT)

Describes a lesson on long division using chip trading which follows that algorithm for long division. (MKR)

Shows how geometric truths can be reinforced by simple exercises with lines and dots. (MKR)

This paper discusses the use of Numicon number teaching materials with children with Down syndrome. The theory underlying the design of the materials is discussed, the teaching approach and methodology are described and evidence supporting effectiveness is outlined. (Contains 4 figures.)

Simple, classroom-tested probability activities that capture students' interest, develop critical thinking skills, and reinforce addition facts are suggested. All activities involve investigating the probabilities of the sums that come up when two dice are tossed. (MT)

Detailed instructions are given for the construction of a line segment of length cube root of two. A proof is also given. (MP)

Some questions about the relevance of the philosophy of mathematics to mathematics teaching and to early mathematics learning are discussed. Books by Lakatos, Davis and Hersh, and Kitcher are referred to extensively, with comments on a variety of instructional practices. (MNS)

Learning theories and evidence from research and classroom practice support use of manipulative materials to help children learn and understand mathematics. Well-chosen and properly used manipulatives enhance children's learning, generate interest, relieve boredom, and promote problem-solving and computational skills. (JN)