Undervisningsmidler: matematik

Dear parents!Our book is intended to supplement the school-acquired knowledge and learning skills of children in grades 1 and 2. We have considered the general goals of early education.The free, integral, and harmonious development of the child's personality in accordance with his or her own rhythm and demands, fostering his or her autonomy and creative formation;Ability to engage with other children, adults, and the environment in order to gain new information, abilities, attitudes, and behaviors. As autonomous learning experiences, encourage explorations, exercises, tries, and experiments. Each child's discovery of his or her own identity, autonomy, and the formation of a good self-image. Assisting the child in gaining the necessary knowledge, skills, abilities, and attitudes for school entrance and lifelong success.Early childhood education has a positive impact on a child's talents and academic career. Youngsters acquire a good attitude and enthusiasm for schoolwork, their intellectual performance improves in the short term, and their potential is perceived differently by others. We recommend using writing and coloring instruments that do not bleed. Hence, creativity, patience, and persistence are all that is required to read this book page by page.

"This picture book biography follows a brilliant South Indian mathematician whose love of numbers spurred him to ask big questions and make incredible discoveries. The book's back matter includes an author's note, a glossary of Ramanujan's world, and mathematical content about number patterns and magic squares"--

A short preliminary course of practical and experimental work in geometry to give the beginning student clear mental pictures of geometric objects and constructions. Early chapters introduce easy exercises in drawing to illustrate definitions, measurement of lines and angles, and the use of compasses and protractor. Next come problems on bisection, parallels, and perpendiculars, followed by the use of set squares and the construction of triangles and quadrilaterals. Problems are explained informally, with the results verified by measurement.

"What time is it? Find out in this decodable book for beginning readers that uses a combination of domain-specific sight words and decodable text to build confidence in content area reading. Bold, colorful photographs that align directly with the text help readers with comprehension"--

L'algebra lineare, per alcuni suoi capitoli, costituisce da tempo la struttura fondamentale di ogni corso di geometria, è ad essa quindi che è dedicata buona parte di questo volume. Sono molti i testi che forniscono una trattazione completa ed esauriente della teoria, pertanto non è questo lo scopo che ci si prefigge, bensì quello di una semplice esposizione degli argomenti che l'autore usualmente sviluppa nell'ambito dei corsi di geometria per gli studenti di ingegneria. La parte propriamente dedicata alla geometria occupa lo spazio centrale del testo. In essa il punto di vista è quello di una applicazione dei concetti più semplici sugli spazi vettoriali e sui sistemi lineari già sviluppati nei primi capitoli. Affidando talvolta la trattazione più alla semplice intuizione che al rigore formale e, in altri casi, omettendo alcune dimostrazioni, si è ottenuto di poter accennare a più argomenti senza per questo incorrere in un eccessivo appesantimento.

KombiMat er et nyt matematiksystem, der med fordel kan kombineres med et digitalt træningssite. Indholdet i grundbogen giver et godt fagligt fundament og er tilpasset brugen af supplerende træningssites, der kan målrette træningen for den enkelte elev.Læs mere om systemetKombiMat giver:• Fagligt overblik, fokus, fordybelse og forståelse• Faglige pointer og faglig dialog• Støtte til matematiske undersøgelser og differentiering• Masser af gratis digitale ressourcer knyttet til bogen• Mulighed for et perfekt match med et supplerende træningssite, somfx KvikMat.Få overblik over alle materialer i systemet

Children are born with a natural love of learning - the roots for success. How to Create Math Experts with Base Ten Blocks is designed to assist adults as they simultaneously maintain children's natural love of learning and accelerate their knowledge. The desire for increased knowledge must never wither away!When students have completed the thought-provoking assignments in the Math Expert series of books, they will have more knowledge of mathematics than the vast majority of elementary age students. In fact, they will have some knowledge that even mathematics teachers were not taught."Since they had no roots, they withered away." Matthew 13:6

In his book, Mathematical Milestones, Professor Clement Falbo, PhD, shares many of the interesting historical anecdotes about mathematics. When Archimedes invented calculus in 250 BCE, like the first snows of winter, it didn't stick, when it was reinvented in the 17th century, it did stick because of its necessity in burgeoning world-wide industrial activity. This time, Rene Descartes (1630), Pierre De Fermat (1635), Bonaventura Cavalieri (1635), Isaac Newton, and Gottfried Leibnitz (1660) and (1670) were given credit. In Falbo's book we see how new inventions, discoveries and applications in science, engineering, and economics contributed to and benefited from mathematical growth. This book allows the reader to engage in the exciting axiom-and-theorem narrative that develops complex numbers, matrices, vectors, and quaternions, all in historical contexts. Professor Falbo provides us with food for thought by hypothesizing that modern mathematics was born when Abstract Algebra was invented, and Non-Euclidean Geometry was discovered in the 1800's. -Professor Jean Chan, Mathematics Department, Sonoma State University Anyone who reads this book will discover interesting new information and fresh perspectives on well- known ideas. The brief calculus chapter by Professor Falbo is exciting and vibrant and even has a proof of the fundamental theorem. A unique feature of this book is the way Clem traces the history of Game Theory and Operations Research from Jiuzhan Suanshu (300 BCE) in China to Seki Kawa (1683 CE) in Japan to Gauss and Jordan in Germany in the 19th Century all the way to Von Neumann, Morgenstern, and Dantzig in the 20th Century. His Chapters on matrix applications and operations research provide a readily accessible introduction to the powerful Simplex Algorithm. We can see where artificial intelligence originated from the sections of the book that explore logic and game theory. The chapter "A Crisis in Mathematics" in the books last section, describes how Kurt Godel, in 1931 destroyed mathematicians' dreams of having a discipline that was both comprehensive and consistent. -Professor Ken Ross, Mathematics Department, The University of Oregon

This "100+ Days of Timed Tests - Addition and Subtraction, Facts 0 to 9, Single Digit" is the beginner-level math practice workbook for Kindergarten and Grade 1 kids. This book is specifically designed for numbers between 0 and 9. These sets of math practice worksheets are designed to test simple addition and subtraction problem-solving skills. The kids can challenge themselves with the timed test problems. This book mainly focuses on improving math facts skills, speed, and building confidence levels. This book also has an Answer Key sheet at the end of the book so that you can quickly check the kid's answer. In this book, there are 30 problems to be solved on a daily basis and a total of 102 pages of Timed test practice worksheets. It helps the kids to perform consistently and is trained to be excellent in multiplication, and division. Table of Contents:Addition & Subtraction Tables (1 to 10)51 Pages of Timed Test Addition Problem sheets 51 Pages of Timed Test Subtraction Problem SheetsAddition & subtraction Answer Key SheetsCertificate of excellenceGet plenty of division math practice! Get Excellent in Math! Get today for your smart kids!Grab a copy for your friends! Click Author "abcZbook Press" for other books.

Encourage children to explore and independently identify the purpose of various media forms, create media texts, and think critically about the messages they encounter on a daily basis with this essential resource. The included activities promote media literacy.

Teaching is complex. But there are simple ideas we can enact to help our teaching be more effective. This book contains over 400 such ideas.The ideas come from two sources. First, from the wonderful guests on my Tips for Teachers podcast - education heavyweights such as Dylan Wiliam, Daisy Christodoulou and Tom Sherrington, as well as talented teachers who are not household names but have so much wisdom to share. Then there's what I have learned from working with amazing teachers and students in hundreds of schools around the world.Inside you will find 22 ideas to enhance mini-whiteboard use, 15 ideas to improve the start of your lesson, 14 ideas to help make Silent Teacher effective, seven ways to respond if a student says they don't know, and lots, lots more.Each idea can be implemented the very next time you step into a classroom. So, whatever your level of experience, subject or phase, there are plenty of ideas in this book to help take your teaching to the next level.Book contentsChapter 1: How to use this bookTip 1. How to use this book to improve your teachingTip 2. How to give yourself the best chance of making a lasting changeChapter 2: Habits and routines Why are habits and routines important? Tip 3. Eight ideas to help introduce a routineTip 4. Beware of the Valley of Latent PotentialTip 5. Two ideas to help a routine stickTip 6. Develop a set of high-value activity structuresTip 7. Six ideas to help establish positive norms in your classroomTip 8. Four types of words to consider removing from your teaching vocabularyChapter 3: The means of participationA challengeTip 9. Front-load the means of participationTip 10. Ten ideas to improve Cold CallTip 11. Eight reasons to strive for mass participation more frequentlyTip 12. Twenty-two ideas to improve the use of mini-whiteboardsTip 13. Five ideas to improve the use of voting systems Tip 14. Nine ideas to improve Call and ResponseTip 15. Fifteen ideas to improve Partner TalkTip 16. Six ideas to improve group workTip 17. Use the means of participation holy trinityTip 18. Never rely on a mental noteTip 19. The best tool for the long term might not be the best tool for nowChapter 4: Checking for understandingTip 20. Think of questions as a check for misunderstandingTip 21. Use the temptation to ask for self-report as a cue to ask a better questionTip 22. Lengthen wait times after asking a questionTip 23. Lengthen wait times after an answerTip 24. Ten types of questions to ask when checking for understandingTip 25. Try these three frameworks for learner-generated examplesTip 26. Three ways to use diagnostic questions to check for understandingTip 27. Provide scaffolds for verbal responsesTip 28. Six key times to check for understandingTip 29. Ten ideas to improve Exit TicketsTip 30. Pick the student least likely to knowTip 31. Start with whoever got 8 out of 10Tip 32. Ten ideas to help create a culture of errorTip 33. Three ideas to encourage students to ask questionsChapter 5: Responsive teachingTip 34. Trick your students to test if they really understandTip 35. Never round-upTip 36. Six ideas if a student says 'I don't know'Tip 37. What to do when some students understand and some don'tTip 38. What to do when some students still don't understandTip 39. How students can own and record classroom discussionsTip 40. Share students' work with the rest of the classChapter 6: PlanningTip 41. Seven ideas to improve a scheme of workTip 42. Six ideas to help start the planning processTip 43. Plan to do less, but betterTip 44. Ask yourself: 'What are my students likely to be thinking about?'Tip 45. Write out ideal student responsesTip 46. Four ideas to help you plan for and respond to errorsTip 47. Two ideas to help teachers engage in Deep Work Tip 48. Aim to close the loop when sending an emailChapter 7: Prior knowledgeTip 49. Plan relevant prior knowledgeTip 50. Prioritise relevant prior knowledgeTip 51. Assess relevant prior knowledgeTip 52. Respond to prior knowledge assessmentTip 53. Assess relevant prior knowledge for each idea, not for the whole sequenceChapter 8: Explanations, modelling and worked examplesTip 54. Five ideas to show students why what we are learning today mattersTip 55. Use related examples and non-examples to explain technical languageTip 56. Fourteen ideas to improve the explanation of a conceptTip 57. Teach decision making separatelyTip 58. Five ideas to improve our choice of examplesTip 59. Model techniques liveTip 60. Use a teacher worked-examples bookTip 61. Use student worked-examples booksTip 62. Make use of the power of Example-Problem PairsTip 63. Fourteen ideas to improve Silent TeacherTip 64. Use self-explanation prompts to help develop your students' understanding Tip 65. Six ideas to improve 'copy down the worked example'Tip 66. Vary the means of participation for the We DoTip 67. Three errors to avoid with the Your Turn questionsTip 68. Reflect after a worked exampleTip 69. Beware of seductive detailsChapter 9: Student practiceTip 70. Eight ideas to improve student practice timeTip 71. How to harness the hidden power of interleavingTip 72. Consider using Intelligent PracticeTip 73. Consider using 'no-number' questionsTip 74. Nine ideas to help you observe student work with a purposeTip 75. Occasionally let students do work in someone else's bookChapter 10: Memory and retrievalRetrieval opportunitiesTip 76. Show your students the Forgetting CurveTip 77. Show your students the path to high storage and retrieval strengthTip 78. Show your students the limits of working memoryTip 79. Show your students how long-term memory helps thinkingTip 80. Show your students that being familiar with something is not the same as knowing itTip 81. Ensure you provide retrieval opportunities for all contentTip 82. When designing retrieval opportunities, aim for 80%Tip 83. Vary the types of retrieval questions you askTip 84. Consider providing prompts and cues during retrieval opportunitiesTip 85. Get your students to assign confidence scores to their answersTip 86. Make corrections quizzableTip 87. Twenty-one ideas to improve your Low-Stakes QuizzesTip 88. Fifteen ideas to improve the Do NowTip 89. Consider using Trello to help organise the disorganisedChapter 11: Homework, marking and feedbackTip 90. Make homework feed into lessonsTip 91. Eight ideas to improve homeworkTip 92. Two things to check if homework or test scores are a surprise Tip 93. Be careful how you respond to 'silly' mistakesTip 94. Turn feedback into detective workTip 95. Consider recording verbal feedbackTip 96. Twelve ideas to improve whole-class feedbackChapter 12: Improving as a teacherTip 97. Find the expertise within your teamTip 98. Five different people to learn fromTip 99. Revisit education books and podcast episodesTip 100. Four things to consider when trying something newTip 101. Five ideas to help tackle the negativity radioTip 102. Consider slowing down your careerTip 103. Sixteen ideas to improve the delivery of CPD Tip 104. Micro tipsTip 105. If you want more tips...

Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed. Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students! That's a problem. But the answer isn't to supplement the curriculum with random tasks. Classroom Ready-Rich Math Tasks for Grades 6-12 equips you with a cohesive solution--50+ mathematical tasks that are rich, research-based, standards-aligned, and classroom-tested. The tasks: Are organized into learning progressions that help all students make the leap from arithmetic to algebra Offer students interesting mathematics problems to think about and solve so math is investigative, interactive, and engaging Provide opportunities for you to connect new content to prior knowledge or focus on an underdeveloped concept Engage students in conceptual understanding, procedural practice, and problem solving through critical thinking and application Come with downloadable planning tools, student resource pages,  and extension questions Include additional support for students who may be strugglingEvery learner deserves opportunities to engage in meaningful, rigorous mathematics. And every teacher can develop mathematical thinking and reasoning abilities in students. Part of the bestselling series spanning elementary and middle school, Classroom-Ready Rich Algebra Tasks, Grades 6-12 is a powerful add-on to any core mathematics program at your school.

My Motivational Cursive Handwriting & Multiplication Workbook was created for young scholars to learn how to write cursive letters, write words in cursive, learn multiplication facts up to 12 fluently, and so much more.The combination of cursive writing practice and multiplication in this workbook allows your child to engage in skills that will help them become critical thinkers and critical learners. Research has proven that children who learn how to write in cursive become better spellers, improve their fine motor skills, and retain more information and generate better ideas. In addition, multiplication is a primary skill used in many forms of math such as algebra, calculus, geometry, and more. When children understand multiplication and know multiplication facts up to 12, they tend to have more confidence towards the teaching and learning of mathematical concepts as they progress through educational experiences.This workbook is organized in a way to set your child up for success! There are motivational words and phrases throughout the book which can be used to increase the self-esteem and confidence of your child. The cursive letters are organized by the stroke, which meansletters with similar line strokes are grouped together. Additionally, the lowercase letter of each alphabet comes prior to the uppercase. The lowercase letters are seen more often in text when children read and write. Therefore, research suggests it is best to teach lowercase letters first, prior to uppercase letters. My Motivational Cursive Handwriting & Multiplication Workbook includes:1. 80+ Practice Pages-Your child will be able to practice line strokes, cursive handwriting for uppercase letters ,and lowercase letters for each alphabet, along with space provided for them to write on their own. They will develop their fine motor skills for writing while also learning to recognize letters and read cursive words. They will also learn how to join cursive letters to form words. 2. Coloring Pages-Every child loves mandala coloring sheets! This workbook has coloring sheets that focus on some calming down time for your child. 3. Activity Pages- Use the interactive multiplication sheets for practicing and learning basic multiplication facts using the 4 best practices strategies taught nationwide. 4. Practice Sheets- We have number charts for your child to practice skip counting, multiplication, and sight words. 5. Bonus- Allow your child to increase their multiplication facts with our colorful flashcards. Laminate the flashcards and cut out for longer usage. Allow your child to improve their penmanship with cursive handwriting practice and multiplication fluency with this dynamic workbook at least 3 times a week. Don't forget to have your child say one or more Daily Affirmations to increase their self-esteem and confidence along the way. Enjoy the endless possibilities of learning with this workbook!

Rethink traditional teaching methods to improve student learning and retention in STEM  Educational research has repeatedly shown that compared to traditional teacherΓÇôcentered instruction, certain learnerΓÇôcentered methods lead to improved learning outcomes, greater development of critical highΓÇôlevel skills, and increased retention in science, technology, engineering, and mathematics (STEM) disciplines. Teaching and Learning STEM presents a trove of practical researchΓÇôbased strategies for designing and teaching courses and assessing studentsΓÇ▓ learning. The book draws on the authorsΓÇ▓ extensive backgrounds and decades of experience in STEM education and faculty development. Its engaging and wellΓÇôillustrated descriptions will equip you to implement the strategies in your courses and to deal effectively with problems (including student resistance) that might occur in the implementation. The book will help you: Plan and conduct class sessions in which students are actively engaged, no matter how large the class is Make good use of technology in faceΓÇôtoΓÇôface, online, and hybrid courses and flipped classrooms Assess how well students are acquiring the knowledge, skills, and conceptual understanding the course is designed to teach Help students develop expert problemΓÇôsolving skills and skills in communication, creative thinking, critical thinking, highΓÇôperformance teamwork, and selfΓÇôdirected learning Meet the learning needs of STEM students with a broad diversity of attributes and backgrounds The strategies presented in Teaching and Learning STEM donΓÇ▓t require revolutionary timeΓÇôintensive changes in your teaching, but rather a gradual integration of traditional and new methods. The result will be continual improvement in your teaching and your studentsΓÇ▓ learning.

Nature's repeating patterns, better known as fractals, are beautiful, universal, and explain much about how things grow. Fractals can also be quantified mathematically. Here is an elegant introduction to fractals through examples that can be seen in parks, rivers, and our very own backyards. Young readers will be fascinated to learn that broccoli florets are fractals—just like mountain ranges, river systems, and trees—and will share in the wonder of math as it is reflected in the world around us. Perfect for any elementary school classroom or library, Mysterious Patterns is an exciting interdisciplinary introduction to repeating patterns.

A comprehensive and progressive teaching and learning programme. This title is for children sitting 11+, SATs, common entrance and scholarship examinations. It is arranged in a topic by topic format, uses a unique code covering Information, Technique and Exercises. It also gives clear methodologies, with examples, for each technique.