This article presents some identities on the sum of the entries in the first half of a row in Pascal's triangle. The results were discovered while the author was working on a problem involving Laplace transforms, which are used in proving of the identities.

Created for a Metric Day activity, Metric Madness is a board game for two to four players. Students review and practice metric vocabulary, measurement, and calculations by playing the game. Playing time is approximately twenty to thirty minutes.

The Bureau of Indian Education (BIE) funds schools located on 63 reservations in 23 states across the nation. Of the 183 schools, 59 are Bureau operated and 124 are tribally controlled. One-hundred and sixteen schools provide instructional programs, 55 provide instructional as well as boarding services and 12 peripheral dormitories provide only…

Teachers know that Differentiated Instruction (DI) helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math…

There is limited research on bilingual classroom teachers who conduct household visits of non-English speaking Hispanic families. The author and teacher explored (a) ways that three migrant, Hispanic families were involved with their children's school to promote mathematics and language literacy learning and communication; and (b) how these…

This article describes a collaborative learning experience in experimental design that closely approximates what practicing statisticians and researchers in applied science experience during consulting. Statistics majors worked with a teaching assistant from the chemistry department to conduct a series of experiments characterizing the variation…

This paper describes an interactive activity that revolves around the dice-based golf game GOLO. The GOLO game can be purchased at various retail locations or online at igolo.com. In addition, the game may be played online free of charge at igolo.com. The activity is completed in four parts. The four parts can be used in a sequence or they can be…

Filling the knowledge gap in the limited research on professional development leaders is an urgent issue if teacher learning is to be improved. This research and development project is studying how leaders learn to cultivate mathematically rich professional development environments. The authors adapted two frameworks from classroom-based…

How do educational opportunities influence students' academic achievement in the Dominican Republic? How do students grow, in knowledge and skills, as a result of their passage through the elementary grades? This study aims to explore and understand the differences between the implemented curriculum in public and private schools in 4th, 5th, and…

Early years practitioners know what parents are reminded of every Christmas Day--it does not matter how long families spend carefully selecting the presents, the children are likely to spend longer playing with the empty boxes! Children are fascinated with boxes and practitioners can capitalise on this and support early mathematical development…

A table showing the first thirteen rows of Pascal's triangle, where the rows are, as usual numbered from 0 to 12 is presented. The entries in the table are called binomial coefficients. In this note, the authors systematically delete rows from Pascal's triangle and, by trial and error, try to find a formula that allows them to add new rows to the…

Number sense has been recognised as central to young children's development of mathematics for a number of decades. A student with a "good" sense of number normally has a thorough understanding of relationships among numbers and operations--being able flexibly to partition and combine numbers in convenient ways to allow appropriate…

Using differentiated instruction in the classroom can be a challenge, especially when teaching mathematics. This book cuts through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Specific strategies and examples for grades Kindergarten - 8 are organized…

Mathematics and science are tightly interwoven, yet they are often treated as distinct disciplines in the educational context. This study details the development, implementation and outcomes of a teaching intervention that highlights the links between mathematics and science, in the form of a first-year interdisciplinary course. A mixed method…

Background: Policy discussion to change the nature of teaching practices overshadows how social and economic inequalities contribute to unequal education outcomes. Research on how teaching practices contribute to the variance in test scores on a broad scale or on whether the relation of instruction to test scores is moderated by social and…