This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author's longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author's reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon - that is, seeing the visual in the symbolic and the symbolic in the visual."

Level: EYFS Subject: Maths Introduce young learners to numbers with this fun and engaging activity book. Lots of practice opportunities to help children learn the numbers 0-20. Wipe-clean pages and pen so that children can try the activities again and again. Colourful, motivating activities to help boost confidence.

Die Nuwe alles-in-een reeks kan nou spog met 'n nuwe lees- en klankprogram vir Gr 1 tot 3 om gedeelde, begeleide en selfstandige lees in die klaskamer te bevorder. Dit is ontwikkel volgens doe beginsels en doelwitte van die Kurrikulum- en assesseringsbeleidsverklaring. Die leerfokus van hierdie boek is om fonemiese bewustheid te bevorder. Leerders moet daarvan bewus wees dat spraak uit 'n reeks klanke bestaan, hulle moet individuele klanke herken, asook die manier waarop klanke woorde en woorde sinne vorm.

Wiskunde-angs is ’n werklikheid wat kinders – en hul ouers – se lewens versuur en uiteindelik ook beroepskeuses beperk. Onder die redes daarvoor is dat basiese syfervaardighede kleintyd nie deeglik vasgelê word nie, en dat Wiskunde só aangebied word dat kinders belangstelling verloor. Om suksesvol in Wiskunde te wees, moet ’n kind onder meer ’n parate of outomatiese kennis van getalle en die vier hoofbewerkings hê, sodat dit oombliklik, sonder om te dink, opgeroep kan word. Best Books se Pret met Wiskunde-reeks vir die Grondslagfase vergemaklik die verwerwing van dié kennis met verbeeldingryke aktiwiteite wat dit maklik én lekker maak om vaardighede stap vir stap in te oefen en heeltemal te bemeester. So word ’n stewige grondslag vir die kind se hele skoolloopbaan gelê. Die Nuwe Alles-In-Een Pret met Wiskunde-werkboeke vir Graad 1–3 volg die KABV-kurrikulum en toon aan wat deur die jaar van jong leerders verwag word. Die werkboeke bestaan uit oefenbladsye, werkvelle en ’n volkleurspeletjie per kwartaal. Oefenbladsye oefen parate vaardighede in, die werkvelle bevorder kreatiewe denke en probleemoplossing, en die speletjies help om vaardighede verder in te skerp. Al die vereiste inhoudsareas word gedek: patrone, funksies en algebra; getalle, bewerkings en verwantskappe; ruimte en vorm; datahantering; en meting. Die boeke is geskik vir gebruik in die klaskamer en tuis.

This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education.The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader's place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l'Etude et l'Amelioration de l'Enseignement des Mathematiques / International Commission for the Study and Improvement of Mathematics Education.

The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

Hierdie 3 in 1 studiegids is met uiterste noukeurigheid ontwikkel vir die groot aantal leerders wat vir hierdie gewilde vak inskryf. Dit bevat: Omvattende Notas en Uitgewerkte Voorbeelde in al 7 onderwerpe, Oefeninge en Toets jou Begrippe vir elke onderwerp en Gedetailleerde Antwoorde met Verduidelikings & nuttige wenke. Dit bied bondige, toeganklike notas, duidelik uitgewerkte voorbeelde en vaslegging van konsepte deur gegradeerde oefeninge en toetse. Hierdie boek word ten sterkste aanbeveel en waarborg sukses, maak voorsiening vir ‘n wye verskeidenheid leerders deur die kurrikuluminhoud op ‘n interessante en genotvolle manier aan te bied. Hierdie boek is al wat jy nodig het om vir die eindeksamen in Wiskundige Geletterdheid voor te berei.

Hierdie 3 in 1 publikasie ondersoek die dieper vlakke van al die noodsaaklike komponente van die KABV-kurrikulum. Leerders wat hierdie indiepte studiegids aanpak, sal toekenning verdien soos hulle stap-vir-stap vorige onsekerhede te bowe kom en ‘n suksesvolle pad vorentoe verseker. Dit bied: Omvattende Notas en Uitgewerkte Voorbeelde per onderwerp. Oefeninge wat gegradeer is om die logika en tegnieke wat vereis word, te bevorder. Gedetailleerde Oplossings vir alle oefeninge, plus ’n omvattende eksamen (vraestel 1 & vraestel 2) met volledige verduidelikings vir deeglike vaslegging en finale eksamenvoorbereiding. Hierdie effektiewe studiegids hersien al die noodsaaklike beginsels wat in vorige grade gedek is. Die leerder se begrip word deur stap-vir-stap notas uitgebrei en uitgewerkte voorbeelde word gebruik om nuwe werk bekend te stel. Die opsommings en handige wenke dra daartoe by dat die leerders die studiemateriaal as geheel verstaan en sodoende word selfvertroue en vaardigheid by die Graad 11-leerder bevorder. Hierdie boek waarborg die ontwikkeling van ’n stewige grondslag vir elke leerder wat vir die Graad 11 en 12 Wiskunde-eksamens voorberei en wat vasbeslote is dat hulle wil uitblink, ’n besliste weg na oop deure vir hul toekoms!

Become a super spy, crack codes and train your brain! By using maths and logic to solve and navigate the codes, kids will build great skills to help them with problem solving and reasoning. Developed by Dr Gareth Moore, an expert in the field, this book will have your kids cracking codes in no time! Reveal secret messages with codes used by real-life spies Use maths to crack into mysterious safes Become a master tech-decoder using logic, and more Discover cryptic co-ordinates to hunt down hidden treasure ...and much more! Including amazing alphabet and number codes, grids, and picture puzzles. Don't worry, if kids get stuck, there are tips and subtle clues to help improve code-breaking skills. With full-colour graphics and illustrations throughout, this book is as eye-catching as it is entertaining.

Why do some students achieve more than others? Do we have to wait until pupils are ready? Can children discover math for themselves? Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

Daily Math Practice is divided into 36 weekly sections. The five items practiced each day, Monday through Thursday, include two computation problems, two items that practice a variety of math skills, and one word problem. Friday lessons contain a single problem that is more extensive and may require multiple steps and problems that emphasize reasoning and communication in mathematics.

180 Days of Math is an effective workbook designed to help students improve their math skills. This easy-to-use fourth grade workbook is great for at-home learning or in the classroom. The engaging standards-based activities cover grade-level skills with easy to follow instructions and an answer key to quickly assess student understanding. Each daily practice page includes 10 math problems covering algebraic thinking, fractions, multiplication, division, measurement and data, and geometry. Watch as student s math confidence grows with these quick independent learning activities.Parents appreciate the teacher-approved activity books that keep their child engaged and learning. Great for homeschooling, to reinforce learning at school, or prevent learning loss over summer.Teachers rely on the daily practice workbooks to save them valuable time. The ready to implement activities are perfect for daily morning review or homework. The activities can also be used for intervention skill building to address learning gaps.

Daily Math Practice is divided into 36 weekly sections. The five items practiced each day, Monday through Thursday, include two computation problems, two items that practice a variety of math skills, and one word problem. Friday lessons contain a single problem that is more extensive and may require multiple steps and problems that emphasize reasoning and communication in mathematics.

180 Days of Math is an effective workbook designed to help students improve their math skills. This easy-to-use second grade workbook is great for at-home learning or in the classroom. The engaging standards-based activities cover grade-level skills with easy to follow instructions and an answer key to quickly assess student understanding. Each daily practice page includes 8 math problems covering algebraic thinking, numbers and operations, measurement and data, and geometry. Watch as student s math confidence grows with these quick independent learning activities.Parents appreciate the teacher-approved activity books that keep their child engaged and learning. Great for homeschooling, to reinforce learning at school, or prevent learning loss over summer.Teachers rely on the daily practice workbooks to save them valuable time. The ready to implement activities are perfect for daily morning review or homework. The activities can also be used for intervention skill building to address learning gaps.

Please note this title is suitable for any student studying: Exam Board: AQA Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 AQA GCSE Maths, Higher Student Book has been approved by AQA and specially written by a team of maths experts for the Higher tier of AQA's 2015 GCSE specification. Designed to fully support the new style of assessment, the book adopts a clear style to focus on delivering exam success via the careful development of fluency and problem solving practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Core Level specification (9260), for first teaching in September 2016. Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for the Oxford AQA International GCSE Mathematics Core Level exam, with extensive opportunities for practice and model answers. The online textbook can be accessed on a wide range of devices and the licence is valid until 31st December 2026, for use by one student or teacher. Your first login will be sent to you in the mail on a printed access card.

The Heinemann Mathematics scheme has been developed by the authors of the primary course SPMG, with the aim of building on established strengths to provide a structured development of children's mathematical knowledge and skills within the revised curricula.

This Book Thinks You're a Maths Genius explores seven key areas of maths: geometry, space and volume, statistics, numbers and number patterns, codes and ciphers and the concept of infinity. Each spread centres on an open-ended question that introduces a key mathematical concept and suggests activities that engage the child in a fun and entertaining way. Activities include predicting the trajectory of a Malteser; building loo roll skyscrapers; mind-reading magic tricks; devising your own spy code; and working out the physical correlations between your dad and Usain Bolt. The end of the book includes a section of paper-based crafts including the kit to make a cardboard football and a data log for family quirks.

This book is written by a diverse group of educators who spent the better part of one year learning about and implementing antiracist pedagogy. We hope our work is inspiring to other educators who want to learn more about antiracist pedagogy; more than that, we hope it provides a tool to engage with and speak back against repressive policies that seek to push out antiracist pedagogies. We worry that antiracist pedagogy has become a buzzword in scholarship and public discourse - simultaneously feared, silenced, hated, misunderstood, misused, and appropriated. We believe antiracist pedagogy has a place in democratic education. Therefore, we consider this book to be a clarifying project. In it, we provide precise definitions and concrete examples to demonstrate how antiracist pedagogy is a way of teaching and learning that engages past failures of American democracy in order to inspire students to take action toward fulfilling the promise of American democracy.