As part of ongoing design-based research exploring financial literacy teaching and learning, 10 tasks termed "financial dilemmas" were trialled by 14 teachers and more than 300 year 5 and 6 students in four government primary schools in urban Darwin. Drawing on data related to three tasks--"Catching the bus," "Laser…

The paper applies Goffman's frame analysis and ethnomethodology to student performance on mathematical word problems. In educational research, frame analysis has usually been limited to primary frames. Instead, in this paper I focus on the kind of secondary frame that Goffman calls 'utilitarian make-believe'. The data consist of a fragment of…

The study aims to explore the level of suburban 5th grade students' mathematics self-efficacy, math anxiety, and academic achievement, to discover the possible interconnections between these parameters. The measures used to evaluate each included the Math Anxiety Rating Scale, the Self-Efficacy Questionnaire, and the North Carolina End of Grade…

Proportional reasoning is important to the field of mathematics education because it lies at the crossroads of additive reasoning in the elementary school and multiplicative reasoning needed for more advanced mathematics. This research reports on the representations used by pre-service teachers (PSTs) as they responded to tasks involving…

Now in its Third Edition--expanded with over 100 new tasks and questions--this bestselling resource helps experienced and novice teachers to effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal…

This study examined the math talk and the use of multiple representations in elementary classrooms of 134 beginning teachers, all in their second year of teaching. A quantitative correlational research design was employed to investigate the research questions. The data were collected using a log instrument, the Instructional Practices Log in…

This manuscript presents a conceptual heuristic to describe the development of a shared understanding of both collaboration and ambitious mathematics instruction within the context of a school-based improvement initiative. Based on empirical evidence from a two-year study in four elementary schools, we argue that the school community first learned…

The State of Illinois adopted the Illinois Learning Standards for Mathematics on June 24, 2010 as a means for students to succeed in college, in a career and in life. The new standards had instructional shifts in content and practice that differed from the 1999 Illinois Learning Standards. The new mathematics standards contained fewer topics for…

Conversation Analysis uncovers features of talk-in-interaction during "real life" conversations. When these phenomena are repeatedly observed in the data, conclusions can be drawn regarding the function of the phenomena as elements of talk. In this project, we drew on a corpus of video-recordings collected in five different early…

Children with disabilities perform lower in mathematics than their peers without disabilities, and this gap widens from ages 7 to 13 (Wei, Lenz, & Blackorby, 2013). Of even greater concern is that fifth-grade children with mathematics disabilities continue to perform in the bottom quartile of their grade in high school (Shalev, Manor, &…

Many teachers are using the Five Practices model to guide them in orchestrating whole-class mathematics discussions that focus on understanding: (1) anticipate an array of possible student-generated solution strategies to a mathematical task before implementing the lesson; (2) monitor students' work as they grapple with the task; (3) select a…

Character strengths support academic learning and can and should be incorporated into all content areas. This article articulates ways character strengths, including self-efficacy, positive-attitude, perseverance, growth-mindset, intrinsic motivation, intellectual carefulness, and courage specifically support mathematics education (K-8) and can…

This exploratory study examined how two teachers from two New Zealand primary schools introduced and taught the same mathematics lesson to their lowest ability group of year 2 and 3 students. Emphasis was given to analysing the positioning of the teacher and students and the developing storylines and social acts from that positioning. Different…

Students' success with fourth-grade content standards builds on mathematical knowledge learned in third grade and creates a conceptual foundation for division standards in subsequent grades that focus on the division algorithm. The division standards in fourth and fifth grade are similar; but in fourth grade, division problem divisors are only one…

When dividing one fraction by a second fraction, invert, that is, flip the second fraction, then multiply it by the first fraction. To multiply fractions, simply multiply across the denominators, and multiply across the numerators to get the resultant fraction. So by inverting the division of fractions it is turned into an easy multiplication of…