A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education Series Editor Bharath Sriraman, The University of Montana Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians.Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.

Our revision resources are the smart choice for those revising for the GCSE (9-1) Maths exams. This book contains ten-minute tests covering every topic, so you can test yourself, mark your answers, and create a focused revision plan. This book will help you to: Get practice answering questions on every topic to enhance your knowledge and understanding Build your confidence with hints and tips on the core skills you need for the exam, and see where you're doing well Identify the areas where you can improve by marking yourself against the comprehensive set of answers Create a personalised revision plan, with references to specific Revision Guide pages for further focused revision. Revision is more than Ten-Minute Tests Make sure that you have prepared for every topic in GCSE (9-1) Maths with the accompanying Revision Guides, Workbooks, Practice Papers Plus+, Revision Cards and Bootcamp titles. Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017

The goal of this book is to bring together the concept of self-efficacy theory with practical how-to strategies for both teachers and parents to use in heightening their students' levels of self-efficacy. The book examines how self-efficacy theory relates to the acquisition of mathematical competence. The text also provides specific and practical how-to strategies for both teachers and parents in applying these principles to classroom mathematics instruction and activities. The self-efficacy practices and applications to mathematics are also suitable for families working with learners outside the school environment. Acquiring mathematical skills requires more than knowing arithmetic tables, memorizing rules, and knowing proofs. It requires a basic belief that one is capable of obtaining this information, making sense of it, and applying and generalizing it in mathematical problems. In addition, a student must believe that obtaining these skills leads to a positive outcome, whether it is perceived to be a good or passing grade, comfort-level in tackling mathematical problems, being able to advance to the next mathematics course, being able to score highly on the math section of the SAT and/or be competitive for a desired job. The ability of students to achieve and exceed grade level competence in mathematics is addressed through the lens of Albert Bandura's Self-Efficacy Theory. This theoretical position states that one will persist in mastering a behavior (in this case, mastering mathematical principles and skills), in the face of obstacles or failures-to the extent that one believes he or she has the ability to do so, and that there is a desired outcome for doing so. The research literature on the role of self-efficacy in mathematic instruction is examined to demonstrate the validity of using this concept to increase student (and parent/teacher) confidence in learning and applying grade-appropriate math content. Specific teaching methodologies will be provided that infuse self-efficacy strategies for students. Lastly, teachers and parents are provided strategies to increase their own self-efficacy when it comes to conveying mathematics principles to their child or student, as well as strategies to assess their students' level of self-efficacy over time. Teaching and learning mathematics so that students achieve success at their grade level or above can present a variety of challenges. One barrier that affects learners is the belief that one is not capable of learning mathematics or not naturally talented in the field, not a "math person." As a result, learners may not believe they are capable of a positive outcome for achieving mathematics success. This book is an important resource for pre-service and in-service teachers, as well as families in applying the theory of self-efficacy to support learners in becoming confident and assured in their ability to understand and apply mathematical principles and procedures. Coupled with classroom ready mathematics instructional strategies, the book provides readers with the background, tools and strategies needed to carry content success and confidence forward to remain persistent in solving all future mathematical problems.

This book offers a detailed look into the how and what of mathematics instruction in Singapore. It presents multiple aspects of mathematics instruction in schools, ranging from the unique instructional core, practices that promote mastery, development of conceptual knowledge through learning experiences, nurturing of positive attitudes, self-regulation of learning and development and use of instructional materials for making connections across mathematical ideas, developing mathematical reasoning, and developing fluency in applying mathematical knowledge in problem solving.The book presents a methodology that is successful in documenting classroom instruction in a comprehensive manner. The research findings illuminate instruction methods that are culturally situated, robust and proven to impact student learning. It demonstrates how a unique data source can be analysed through multiple lenses and provides readers with a rich portrait of how the school mathematics instruction is enacted in Singapore secondary schools.

The revision of this well-respected text presents a balanced approach of the classical and Bayesian methods and now includes a chapter on simulation (including Markov chain Monte Carlo and the Bootstrap), coverage of residual analysis in linear models, and many examples using real data. Probability & Statistics, Fourth Edition, was written for a one- or two-semester probability and statistics course. This course is offered primarily at four-year institutions and taken mostly by sophomore and junior level students majoring in mathematics or statistics. Calculus is a prerequisite, and a familiarity with the concepts and elementary properties of vectors and matrices is a plus.

Pinpoint is a new series of activities and resources created to provide you with highly focused resources for specific needs in Maths. Box contains 2 sets of 60 activity cards and a 32 page book of answers and teacher notes (A5 size) Rich independent problem-solving tasks for exploring maths concepts in greater depth Covers all strands of the Year 3 Programme of Study and colour-coded for ease. Also matched to White Rose planning, Curriculum for Excellence and Abacus, making it easy to find cards for your lesson 3 levels of difficulty on each page (Towards, Securing and Deeper) provide appropriate challenge for all Cards begin with a low-threshold task (to stop children getting stuck and provide problem-solving opportunities for all), and then progress with real stretch for high attainers These resources are flexible and easy to use, saving teachers time searching for differentiated problems. The teacher notes provide additional hints and stretch questions as well as answers. The activities prompt children in Y3 / P4 to solve non-routine problems and reason mathematically in increasing depth. They support mastery teaching by keeping a class engaged on the same topic, with independent work of increasing depth. The cards are colourful and engaging, featuring regular characters who provide suggestions and encouragement. Two sets of the activities are included to facilitate group work.

This user-friendly professional resource was written by Laney Sammons. This resource provides instruction on how school leaders can adopt the Guided Math framework into their schools and classrooms. Highlights include tips for creating a strategic plan for improving students' achievement, sample assessments, and tools for planning and implementation.

Catch up, keep up and make expected progress in GCSE (9-1) Maths with this new series of intervention workbooks, specifically designed for the AQA specification. This workbook: targets key misconceptions and barriers to help you get back on track addresses areas of underperformance in a systematic way, with a unique approach that builds, develops and extends your skills gets you ready for the new GCSE (9-1) assessments with problem-solving exercises and lots of exam-style questions provides ready-to-use examples and practice questions mapped to the Pearson Progression Map and Scale, helping you to track your progress addresses an area of difficulty in each unit with a unique approach, to develop and extend your skills.

This book builds on current and emerging research in distance learning, e-learning and blended learning. Specifically, it tests the boundaries of what is known by examining and discussing recent research and development in teaching and learning based on these modalities, with a focus on lifelong mathematics learning and teaching. The book is organized in four sections: The first section focuses on the incorporation of new technologies into mathematics classrooms through the construction or use of digital teaching and learning platforms. The second section presents a wide range of perspectives on the study and implementation of different tutoring systems and/or computer assisted math instruction. The third section presents four new innovations in mathematics learning and/or mathematics teacher education that involve the development of novel interfaces' for communicating mathematical ideas and analyzing student thinking and student work. Finally, the fourth section presents the latest work on the construction and implementation of new MOOCs and rich media platforms developed to carry out specialized mathematics teacher education.

This invaluable resource provides teachers with the tools they need to facilitate mathematical discourse and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. Authored by Barbara Blanke, this book will help teachers develop a new set of pedagogical skills and strategies to assess, plan, and organize their classrooms in a manner that is conducive to mathematical discourse. With helpful tips and strategies that are easy to implement, this standards-based book supports an equitable learning environment by encouraging active listening, clear communication, justification of perspective, and acknowledgement of students' experiences. Each chapter includes Culturally and Linguistically Responsive Teaching and Learning strategies to address cultural norms for diverse populations, and support the needs of English language learners. With tips for implementing Math Talks and Number Talks, this resource will get students thinking like mathematicians in no time.

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft fur Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

This pack from CGP contains two sets of complete practice exams, with detailed answers and mark schemes. They match the content and style of the AQA Grade 9-1 Foundation Level Maths GCSE exams, with a separate booklet for each paper - just like the real thing. The mark scheme is straightforward to use, including hints and tips, making this the perfect way to prepare for the exams.

This book presents innovative approaches and state-of-the-art empirical studies on mathematics teacher learning. It highlights the advantages and challenges of such tools as classroom videos, concept cartoons, simulations, and scenarios. The book details how representations of practice encourage and afford professional development, and describes how these tools help to investigate aspects of teacher expertise, beliefs, and conceptions. In addition, the book identifies the methodological challenges that can emerge and the obstacles educators might encounter when using representations of practice. The book examines the nature of these challenges and provides suggestions for solving them. It offers a variety of different approaches that can help educators to develop professional learning activities for prospective and in-service teachers.

Edexcel's own Student Book for the new 2009 Edexcel International GCSE Mathematics specification. Provides complete coverage of the 2009 Edexcel International GCSE Mathematics specification. Attractive, full-colour design and engaging features makes the title accessible for every student. Contains exam practice throughout, with revision questions and practice exam questions. Linked to additional online material for students and teachers, provided by Edexcel, ensuring that you have as much support as possible. Full answers to the Student Book questions are available to teachers and parents by emailing [email protected] (for UK teachers and parents) or [email protected] (for all other teachers and parents).

Number Book is a series of graded activity books designed to help children learn basic calculation skills including addition, subtraction, multiplication and division. Number Book 5 is suitable for children making the transition from Key Stage 1 to Key Stage 2 and includes: multiplication and division by 4 and 5, vertical addition and subtraction (involving borrowing and carrying), recognition of coins to 50p, counting money to GBP1.00, giving change, 'snake sums' (5-step number problems).

Comprehensive coverage of the specification with a real focus on both process skills and practice. Suitable for use at either Key Stage 3 or 4, so teachers can teach the way they want to. Maths topic-based chapters build confidence with Functional questions and link to the GCSE. Packed with sources and graphics to bring maths into the real world.

Mental Arithmetic provides rich and varied practice to develop pupils' essential maths skills and prepare them for all aspects of the Key Stage 2 national tests. It may also be used as preparation for the 11+, and with older students for consolidation and recovery. Tailored to meet the requirements of the National Curriculum for primary mathematics, each book contains 36 one-page tests. Each test is presented in a unique three-part format comprising: questions where use of language is kept to a minimum; questions using number vocabulary; questions focusing on one- and two-step word problems. Structured according to ability rather than age, the series allows children to work at their own pace, building confidence and fluency. Two Entry Tests are available in the Mental Arithmetic Teacher's Guide and on the Schofield & Sims website, enabling teachers, parents and tutors to select the appropriate book for each child. All the books can be used flexibly for individual, paired, group or whole-class maths practice, as well as for homework and one-to-one intervention.Mental Arithmetic Book 1 is aimed at pupils in lower Key Stage 2 and covers the key subject areas of number, measurement, geometry and statistics, including place value, simple fractions, times tables, telling the time, giving change, and 2-D and 3-D shapes. Three Progress Charts are provided to monitor learning as pupils work through the book, while topic-based Check-up Tests at the back of the book identify any gaps in understanding. A separate accompanying answer book, Mental Arithmetic Book 1 Answers (ISBN 9780721708058), contains correct answers to all the questions, making marking quick and easy.

Covering grades D to A*, our Higher sets Student Book provides complete support. * Includes clear grading of examples and questions on the page so you are aware of the level you are working at. * Contains support for the new assessment objectives and Functional Maths with clear labelling on each page.