Highly regarded by instructors in past editions for its sequencing of topics and extensive set of exercises, the latest edition of Abstract Algebra retains its concrete approach with its gentle introduction to basic background material and its gradual increase in the level of sophistication as the student progresses through the book. Abstract concepts are introduced only after a careful study of important examples. Beachy and Blair’s clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the student’s background and linking the subject matter of the chapter to the broader picture. Building proficiency in learning mathematics by tailoring instruction to students’ specific misconceptions and learning needs is the backbone of this indispensable text, written for K–8 pre- and inservice teachers, as well tutors. An important theme is that long-term retention is based on a strong conceptual foundation of numeracy and on a well-designed learning environment. Each chapter deals with a different mathematics topic, including whole numbers, fractions, decimals, as well as time and money. Chapters also include examples of error patterns and specific, well-defined strategies and activities for diagnosis, prescription, and remediation. New to this edition is a chapter devoted to English language learners. The complexities of language barriers are delineated along with reasons that students struggle with learning English and mathematics at the same time. An audio file of common mathematics terms translated from English into most-often spoken languages by ELLs can be accessed at www.youareamathperson.com. Outstanding features: • Response to Intervention (RTI) model underpins discussions of differentiating instruction. • Mathematics content reflects components of the Common Core State Standards Initiative for Mathematics and the National Council of Teachers of Mathematics’ Principles and Standards for School Mathematics. • Case studies and student examples promote a sound understanding of learners’ varied cognitive, behavioral, and physical needs. • Discussion questions challenge readers to think more deeply about the application and utility of concepts related to the error patterns. • Step-by-step directions for interactive instructional classroom games and activities are provided to extend and enrich teaching and learning.
The primary purpose of this monograph is to facilitate an initial literature review relevant to our study granted by the National Science Foundation - "How Reform Works: An Evaluative Study of NSF's Urban Systemic Initiatives." The three year evaluative study explores the impact of USI programs on student achievement and the learning infrastructure in urban school districts, and will develop an inferential causal model linking the SI drivers and other key elements. The study design includes collection and analysis of all 21 USI sites' quantitative and qualitative data, site visits four districts in each cohort, and the Survey of Enacted Curriculum. This monograph provides a basis for the rubric design of the evaluative study- See Appendix A: Evaluative Study Abstract.This review of selected literature examines the National Science Foundation's standards-based systemic reform theory in the context of research reported by science, mathematics, and urban education policy experts. This review is specifically concerned with viewing evidence of relationships among identified change variables that are associated with fostering high achievement in mathematics and science of urban and underrepresented minority students. The authors indicate that four categories of variables are useful in studying student achievement: demographic information, test data, teacher development, and mathematics and science curriculum. The review revealed little researcher agreement regarding variable relationships that might predict a chain of influence from policy to classroom practice and finally to student performance.
Drawing on case studies across the Asia-Pacific region, Gaming in Social, Locative and Mobile Media explores the 'playful turn' in contemporary everyday life, and the role of mobile devices, games and social media in this transformation.
Building proficiency in learning mathematics by tailoring instruction to students' specific misconceptions and learning needs is the backbone of this indispensable text, written for K-8 pre- and inservice teachers, as well tutors. An important theme is that long-term retention is based on a strong conceptual foundation of numeracy and on a well-designed learning environment. Each chapter deals with a different mathematics topic, including whole numbers, fractions, decimals, as well as time and money. Chapters also include examples of error patterns and specific, well defined strategies and activities for diagnosis, prescription, and remediation.New to this edition is a chapter devoted to English language learners. The complexities of language barriers are delineated along with reasons that students struggle with learning English and mathematics at the same time. An audio file of common mathematics terms translated from English into most-often spoken languages by ELLs can be accessed at www.youareamathperson.com.Outstanding features:¿ Response to Intervention (RTI) model underpins discussions of differentiating instruction.¿ Mathematics content reflects components of the Common Core State Standards Initiative for Mathematics and the National Council of Teachers of Mathematics' Principles and Standards for School Mathematics.¿ Case studies and student examples promote a sound understanding of learners' varied cognitive, behavioral, and physical needs.¿ Discussion questions challenge readers to think more deeply about the application and utility of concepts related to the error patterns.¿ Step-by-step directions for interactive instructional classroom games and activities are provided to extend and enrich teaching and learning.
This guidebook outlines personal strategies and organisational policies to prevent vicarious trauma and "compassion fatigue" for counsellors and social workers working with abused women and children. It is aimed at counsellors and administrators, and includes information on staff training and hiring, the organisational culture, and the client-counsellor relationship.
This volume deals primarily with the business of tourism, but the way Australians once travelled and experienced tourism is also part of the story. The author traces the beginnings of tourism, first attempts at defining it, and how ways of measuring it were introduced.
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