Investigating Teachers' Mathematics Teaching Understanding: A Case for Coordinating Perspectives

This paper provides a microanalysis of one Algebra I teacher's instruction to explore the advantages that are afforded us by coordinating two perspectives to document and account for the teacher's mathematical understandings. We use constructs associated with Stein, Grover and Henningsen's domain of mathematical didactics and Realistic Mathematics Education's instructional design theory to infer what the teacher might understand to effectively implement her instructional goals and, more importantly, support student learning. By coordinating these perspectives, we developed a working framework for analyzing the teacher's classroom practice retrospectively. For example, we illustrate how the mathematical possibilities related to one student's question might inform the teacher's decisions as she initiates shifts in students' self-generated models. Additionally, we illustrate how the teacher's decision to capitalize on particular students' models contributes in part to the kinds of mathematical ideas that can be explored and the connections students can make among those ideas. More generally, we explore the utility of coordinating these two perspectives to understand the landscape of ideas that teachers might traverse to align their practices with reform recommendations in the United States.     

Exploring student study behaviours in engineering: how undergraduates prepared textbook problems for online submission

ABSTRACT

While textbooks serve as a primary source of content material and problem-solving practice for undergraduates in engineering, studies that investigate how engineering students prepare assignments based on textbook problems are limited. To examine how engineering students complete textbook-based assignments outside of class, this exploratory qualitative study retrospectively investigated the study behaviours of six undergraduates enrolled in a required, second-year undergraduate engineering course at a mid-size, public university in the western United States. Within the course, students solved textbook problems and electronically submitted problem answers for graded credit. Findings from in-depth, semi-structured interviews showed that students identified and used a variety of non-traditional and unsupported resources in personalised approaches to preparing assignments. Resource choice and use was affected by students’ preferences for timely support, convenience, and social connections. The online submission process seemed to influence students’ adoption of study behaviours and resources considered less effective for deep, conceptual learning.     

A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties

Mathematical competencies of 180 children were examined at 4 points between 2nd and 3rd grades (age range between 7 and 9 years). Children were initially classified into one of 4 groups: math difficulties but normal reading (MD only), math and reading difficulties (MD-RD), reading difficulties but normal math (RD only), and normal achievement in math and reading (NA). The groups did not differ significantly in rate of development. However, at the end of 3rd grade the MD only group performed better than the MD-RD group in problem solving but not in calculation. The NA and RD only groups performed better than the MD-RD group in most areas. Deficiencies in fact mastery and calculation fluency, in particular, are defining features of MD, with or without RD.     

Educating Culturally and Linguistically Diverse Exceptional Learners: The Need for Continued Advocacy

Recent political, fiscal, and educational equity challenges require a renewed emphasis in our efforts to advocate for increased culturally and linguistically responsive education, making certain to further advance the accomplishments of the past four decades. The education of diverse exceptional learners is well established within the fields of special education and culturally and linguistically diverse education. However, drawing on several contemporary features that currently shape education in today’s schools, the authors examine the need for continued special education advocacy to ensure appropriate referral, assessment, and instruction of all culturally and linguistically diverse exceptional (CLDE) learners within the changing pre-K-postsecondary teaching and learning environments. Implications and recommendations for educator preparation at the pre and inservice levels are provided to guide the future development of teachers of CLDE learners.     

Scholarly Productivity Redefined in Counselor Education

In this study, counselor educators responded to a survey about their scholarly productivity over a 3‐year period. Their involvement in 7 scholarly activities is reported by category and by type of institution, tenure status, academic rank, and gender. Using a more comprehensive definition of scholarly productivity, this study documents that counselor educators are involved in a much broader, more diversified spectrum of scholarly activities than prior studies of scholarly productivity have indicated. Implications for tenure and promotion decisions, along with recommendations for training and mentoring of future counselor educators as well as future directions for research, are discussed.     

Cases of incongruity: exploring the divide between adolescents’ beliefs and behavior related to academic dishonesty

The past several decades of research has produced many important insights into prevalence and correlates of academic dishonesty. While these studies have offered important contributions to our understanding of such cheating, we are in need of research that allows us to hear what students have to say about it. This paper begins to fill the relative void of student voices by presenting results from individual interviews with a sample of adolescents who acknowledge cheating despite believing that is wrong to do so. Specifically, the present investigation uses a multi‐case research design to explore the phenomenon of belief–behaviour incongruity, as it relates to academic dishonesty, among a demographically and academically diverse group of high school students. Four distinct cases of BBI are presented, each representing a complex configuration of psychological, social, cultural and situational factors: unable, under‐interested, under pressure and unrepentant. Educational implications and suggestion for further research are discussed.     

Putting literature at the heart of the literacy curriculum

This paper documents an initiative in Continuing Professional Development, conceived and carried out by London's Centre for Literacy in Primary Education (CLPE). The intention was to improve the teaching and learning of writing in Years 5 and 6 of the primary school (9–11‐year‐olds), through working with challenging literature. This teacher education project drew on CLPE's earlier research project, published as The Reader in the Writer ( Barrs and Cork, 2001 ). Classroom approaches developed through the initiative are described, and qualitative and quantitative changes in children's writing are discussed. Patterns of teaching in the classrooms that appear to have made a particular difference to the children's achievement are explored.     

Editor''s choice 2006: Selected online learning resources

This article is an annual compilation of useful resources that pertain to the field of online learning and uses of the Internet for instructional delivery. Over 250 resources are organized into several categories, including texts, journals, and websites.     

Public Library Engagement in Diffusing a Planned Community Health Initiative: A Dual Case Study

Social determinants of health beckon partnerships to empower citizens to make healthy choices. This dual case study explores the roles of public library engagement in a planned community health initiative known as the Blue Zones (BZ) project. Two cases were examined through interviews, facility environmental scans, and passive footprinting. Results indicate a potential library role in promotion and support for community health initiatives. Findings reveal a need to increase librarians’ awareness of social responsibilities beyond perceived professional boundaries, proactively collaborating with community agencies, and promoting community health initiatives through enhanced information access.