This article analyzes the challenge of counting the number of rectangles of all sizes in the n-tableau and to provide a combinatorial reason for the answer. The authors present a solution on enumerating rectangles in the n-tableau using Grassl and Mingus results. The authors demonstrate their conjecture for the n-tableau and attempt to apply their…

In this article, we derive one-parameter family of Schroder's method based on Gupta et al.'s (K.C. Gupta, V. Kanwar, and S. Kumar, "A family of ellipse methods for solving non-linear equations", Int. J. Math. Educ. Sci. Technol. 40 (2009), pp. 571-575) family of ellipse methods for the solution of nonlinear equations. Further, we introduce new…

This paper addresses several objectives of the special issue on universal screening by addressing gaps in the current research base concerning universal screening for mental, emotional, and behavioral health and by providing a framework for addressing the limitations of extant approaches. Specifically, an adaptive model of behavioral assessment…

When given the opportunity to work with mentor programs in schools, this author has recommended a global prescription for mentors to help new teachers make the transition into the world of teaching: encourage them to follow the practices that are most like those of good, experienced teachers. Experienced teachers are different from new teachers;…

Librarians can--and should--be on the lookout for new and unique ways to improve their instructional skill sets and service. One out-of-the-box opportunity to consider is to study--by reading, watching, or participating in--improvisational theater. Improv games and theater are like life: performers who may or may not know each other are given…

Dice are considered one of the oldest gambling devices and thus many mathematicians have been interested in various dice gambling games in the past. Dice have been used to teach probability, and dice rolls can be effectively simulated using technology. The National Council of Teachers of Mathematics (NCTM) recommends that teachers use simulations…

Almost every adult in Australia has played Noughts and Crosses at some time in their life--it is that sort of game, a universal classic. Very few Australian adults play Noughts and Crosses, adult against adult, unless they are bored, witless and cannot think of anything better to do. Adults stop playing this game. Many will say it is boring, while…

Of the eight scientific practices highlighted in "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas," the first is for students to develop abilities to ask questions and define problems (NRC 2012). Constructing a range of questions about an object or phenomenon validates not only what students have…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

The Massachusetts story is about persistence. Instead of jumping from one fad to the next, the Massachusetts Association of School Superintendents (MASS) developed a comprehensive and focused plan and stuck to it for several years. It is clearly a story about people--the trust and connections that developed among networks of superintendents that…

This article describes one type of mathematical problem, open-start problems, and discusses their potential for use in assessment. In open-start problems how one starts to address the problem can vary but they have a correct answer. We argue that the use of open-start problems in assessment could positively influence classroom mathematics…

Watch one of the Japan videos from the Trends in International Mathematics and Science Study (TIMSS)--more specifically, mathematics video 3 on solving inequalities1--and you'll see that after giving his students a word problem to solve, the 8th grade math teacher strolls among the students' desks for almost 15 minutes, leaning over to see what…

In teaching leadership development we have developed and revised a model of teamwork and collaboration, which has yielded innovative and positive results. Our study draws on insights from more than 90 project teams, gathered over twelve years of a mid-career executive education program designed specifically to teach collaborative leadership. The…

This Info Brief introduces families, including families of youth with disabilities, to a new way of looking at career development for youth. This brief discusses the three phases of career development, highlights Individualized Learning Plans as a tool for facilitating the career development process, and offers strategies on how families can be…

The widespread adoption of the Common Core State Standards (2010) has caused mathematics and special educators to reconsider instructional methods. The Common Core introduces eight Standards for Mathematical Practice that outlines the dispositions that should be fostered in students. Most notable are those that push students to analyze problems,…