This guidebook is for college instructors who teach a course in Introduction to Logic at a teachers college or provide a workshop in this subject for in-service mathematics teachers. It can also be used by high school mathematics teachers for teaching students who are capable and interested in Logic.Learning is based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student's worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student's workbook that accompanies this guidebook which includes the student's worksheets without solutions.Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Carroll who was not only one of the best storytellers but also a logician.Click here for StudentaEURO (TM)s Workbook

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the middle school level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/9781138906914), so you can easily distribute them to your class.

This is a student's workbook that accompanies the teacher's guidebook of the same title. It is for students who take a course in Introduction to Logic at a teachers college, whose instructor decides to provide students with a learning environment based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic.This workbook includes worksheets for independent work or for small-group activities. It is also possible to use this workbook in a workshop for in-service mathematics teachers, and also for teaching logic at high school level for capable and interested students.Click here for TeacheraEURO (TM)s Guidebook

This guidebook is for college instructors who teach a course in Introduction to Logic at a teachers college or provide a workshop in this subject for in-service mathematics teachers. It can also be used by high school mathematics teachers for teaching students who are capable and interested in Logic.Learning is based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student's worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student's workbook that accompanies this guidebook which includes the student's worksheets without solutions.Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Carroll who was not only one of the best storytellers but also a logician.Click here for StudentaEURO (TM)s Workbook

The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects. Showcasing the kinds of teaching methods that work within and across countries, this book presents a rich collection of views, including those from teachers, their native colleagues, their foreign colleagues and the researcher, regarding the quality of mathematics teaching today. Interweaving scientific results about teaching and learning evaluations with multiple perspectives of various roles in and out of the classroom, Miao and Reynolds offer insights into how and why different approaches of teaching have led to different learning outcomes in mathematics internationally. Building on rigid and robust analyses of the most up-to-date data in England and China, the book indicates that it is through changing teaching rather than changing teachers that mathematics learning can be improved, because it is what teachers do in the classroom that really makes a big difference. Containing four decades of wisdom from the field of teaching effectiveness research, this book is essential reading for all who want to improve the quality of mathematics teaching worldwide. This book is particularly relevant for educational researchers, postgraduate students and teachers, as well as school leaders, policymakers and parents.

This book is a brilliant source of test-style practice questions for Year 6 Maths pupils - all perfectly matched to the latest curriculum! There are questions for each topic, with space on each page for pupils to write their answers and any working out, plus mark schemes so that you can keep track of their progress. There are also Warm-Up Questions to get pupils started, and Greater Depth Questions to help them really master a topic. And there's more! We've included Objectives Tests at the start and end of the book, and Progress Tests to keep track of how pupils are getting on. You'll find answers to everything at the back. We also have a matching Year 6 Maths Targeted Study Book (9781847621931) - it's packed with clear study notes and examples to explain every topic!

Help kids excel in math! Discover learning strategies used by high achieving individuals who attended Ivy League Colleges and/or pursued STEM careers to be successful math students. Parents and teachers will gain insights about how math learning happens and how to create optimal conditions for learning. Concrete strategies are provided to help students think mathematically so that they understand and retain the information. The goal is to study smarter to get results! Strategies used by highly successful students are shared. Ideas to build confidence in math to achieve success are described Strategies for homework and how to create an environment for success is discussed Parents and teachers will gain ideas on how to advocate for the needs of the students based on their ability level and to develop collaborative relationships that are mutually beneficial A general overview of the Common Core Mathematics Standards and how they build across the grade levels is provided.

From modern-day challenges such as balancing a checkbook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics. Organized into chapters that cluster similar topics in an easily accessible format, this reference provides clear and concise explanations about the fundamentals of algebra, calculus, geometry, trigonometry, and other branches of mathematics. It contains the latest mathematical discoveries, including newly uncovered historical documents and updates on how science continues to use math to make cutting-edge innovations in DNA sequencing, superstring theory, robotics, and computers. With fun math facts and illuminating figures, "The Handy Math Answer Book" explores the uses of math in everyday life and helps the mathematically challenged better understand and enjoy the magic of numbers.

Parents are those social factors that can positively influence their child's learning of mathematics. Using Teacher Inquiry for Knowing and Supporting Parents with Mathematics serves as a teacher's inquiry guide for supporting parents in this critical role. Steps for investigating the manner in which parents and children work together on mathematics tasks, such as homework and projects, are shared. Findings gleaned from such investigation cultivate a state of knowing that positions teachers to support parents, and in turn their students, in meaningful and relevant ways. This book includes teacher inquiry approaches, related tools, and supportive resources for parents in grades Pre-K though 12. Teachers' inquiry findings on their journey towards being "in the know" about parents and mathematics, along with their responsive action steps, are shared to help guide the reader's use of inquiry for knowing and supporting parents with mathematics. Some key additional features of this book include: *Support for both individual and collective teacher inquiry *Resources for supporting parents through the grades *Online teacher inquiry resources *Anchor tasks for developing parents' knowledge of mathematics content, and ways of supporting children's understandings of that content

Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Guide students through the solution with worked examples. Help students focus with clear learning objectives. Keep students on track with key points to serve as reminders. Develop confidence with lots of carefully stepped practice. Support stretch with extend questions. Support revision with chapter summaries that recap key points. Check fluency and build confidence with topic tests. Support ownership of progression with self-assessment chart. Key features: Baseline Entry test (previous NC Levels 3-5 ) Progress to Foundation test to move on to the full Foundation course Flexible Scheme of Work Write-on workbook.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Pia Hansen explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the early elementary level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/97811389069891), so you can easily distribute them to your class.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the high school level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/9781138906990), so you can easily distribute them to your class.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Joshua Dragoon explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the upper elementary level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/9781138906969), so you can easily distribute them to your class.

This fantastic CGP Revision Guide explains everything students will need for success in Grade A*-G WJEC GCSE Maths - and it's suitable for the Higher, Intermediate and Foundation tiers! It's packed with crystal-clear study notes, worked examples and exam-style practice questions (with answers) covering every topic students will need to know - with the Higher and Intermediate content marked up. To top things off, we've also included a free Online Edition of the whole book as well as fully worked answers and mark schemes - just use the unique code in the printed book to access them on a PC, Mac or tablet. For even more practice, don't miss CGP's matching Exam Practice Workbooks for Intermediate (9781789080704) and Higher (9781789080698) WJEC GCSE Maths.

In a rapidly evolving local and global economy, skills related to mathematical problem solving, scientific inquiry, and technological innovation are becoming more critical for success in and out of school. Thus, Demystify Math, Science, and Technology addresses the need to cultivate these skills in young students so that ingenuity, teamwork, and imaginative skills become part of their arsenal in dealing with real world challenges. This whole package of attributes is essential for learners imagining new scenarios and future work in areas that don't even exist yet. Another important issue is that teachers now deal with students who span the entire spectrum of learning. Students differ widely in levels of preparedness, personal interests, and cultural ways of seeing and experiencing the world. One size does not fit all. Teachers need to learn to turn diversity into an advantage because innovation builds on the social nature of learning; the more diverse the inputs, the more interesting the outputs. The authors also believe that no one should be sidelined with basic skill training in a way that keeps them away from the creative and collaborative engagement associated with problem solving, inquiry, and the technological products of math and science.

Maths Homework for Key Stage 2 is a unique resource for busy teachers a selection of pencil-free, hands-on activities that teachers can use as extension activities or give to pupils as homework to do with members of their family or friends. Each of the activities encourages the pupils to learn through discussion and through practical activities utilising everyday resources.

Each activity is quick and easy for pupils and teachers to manage, and includes:

• a learning aim
• full, clear instructions and discussion points
• tasks to develop collaboration and partnership between pupils, parents and teachers
• photocopiable resources.

A refreshing approach for teachers and pupils, these activities will foster enthusiasm for learning and inspire pupils' interest in Maths.

Spectrum(R) Word Problems for grade 5, includes focused practice for essential math skills. Skills include: *Real world applications *Multi-step word problems *Fractions and decimals *Metric and customary measurement *Graphs and probability *Geometry *Preparing for algebra --Spectrum(R) Word Problems workbooks supplement classroom work and proficiency test preparation. The workbooks provide examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards, making it a perfect supplement at home or school.

Achieve. Fun and focused SATs revision. Achieve the Expected Standard in mathematics, with the only fully updated revision series. This book teaches children exactly how to tackle SATs questions (even the tricky ones) with confidence to get their best result. This book covers everything that could be tested while ensuring children have some fun while they learn. Our unique approach has been helping children and schools perform above national average for over 15 years. Children are guided step-by-step through all question types and easy-to-digest content is presented in a simple to follow format. Clear explanations and lots of practice make it the perfect revision range for use in school and at home. This revision book: - Teaches children how to tackle SATs questions ...and get them right! - Focuses revision for the greatest impact on final marks - Draws on expert analysis to ensure our content is just right - Provides full guidance by topic, and includes important facts, keywords, SATs terminology, tips and example practice questions - Offers digestible content and lots of opportunities to practise, making it perfect for use in school or at home For best results use alongside Achieve Mathematics SATs Question Workbook The Expected Standard Year 6 and Achieve Mathematics SATs Practice Papers

This Complete Revision & Practice book is a superb all-in-one guide to CEM 11+ Maths! There are crystal-clear study notes and step-by-step examples for each question type -plus a huge helping of questions to help pupils practise what they've learned for each topic. We've also included mixed-topic tests and two super-realistic Maths practice papers, so pupils will know just what to expect on the big day. There's no better way to prepare! What's more, we've thrown in a free Online Edition that lets you read the entire book on a PC, Mac or tablet - you'll have access via 'My Online Products' on the CGP website from the moment you place your order. When the book arrives, just use the unique code printed inside the cover to gain full access.

Power Maths is a leading primary maths mastery scheme that offers perfect alignment with the popular White Rose Maths Scheme of Learning. Written by a team of experts, led by Series Editor, Tony Staneff of White Rose Maths. For children who are following either the Power Maths or White Rose scheme, the textbooks provide lesson-by-lesson guidance throughout the curriculum. The textbooks include: Engaging contexts for problem solving help children to discover patterns and concepts for themselves in a meaningful way. Clear mathematical structures and representations ensure children make connections and grasp concepts. Lovable characters prompt and question children to promote reasoning skills and help to build a growth mindset.