FTCE Mathematics 6-12 (026) 3rd Ed., Book + Online


Book Description

REA's FTCE Mathematics 6-12 (026) Test Prep with Online Tests Gets You Certified and in the Classroom! Updated Third Edition This new third edition of our FTCE Mathematics 6-12 test prep is designed to help you master the competencies tested on this challenging exam. It's perfect for teacher education students and career-changing professionals who are need certification to teach mathematics in Florida's secondary schools. Written by Sandra Rush, M.A., math test expert, author, tutor, and private test-prep coach, our test prep covers all the relevant topics, with expert score-raising strategies developed just for the FTCE Math test. Our targeted review covers the 10 competencies tested: knowledge of algebra, advanced algebra, functions, geometry, coordinate geometry, trigonometry, statistics and probability, calculus, mathematical reasoning, and instruction and assessment. End-of-chapter practice reinforces key concepts and helps you evaluate your overall understanding of the subject. An online diagnostic test pinpoints your strengths and weaknesses so you can focus your study on the topics where you need the most review. Two full-length practice tests (available in the book and online) offer realistic practice and are balanced to include every type of question and skill tested on the actual exam. Our online tests are offered in a timed format with automatic scoring and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day. This test prep is a must-have for teacher certification candidates in Florida! REA's book + online prep packages are teacher-recommended and are proven to be the extra support teacher candidates need to pass their challenging certification exams.




FTCE Mathematics 6-12 Secrets Study Guide: FTCE Test Review for the Florida Teacher Certification Examinations


Book Description

***Includes Practice Test Questions*** FTCE Mathematics 6-12 Secrets helps you ace the Florida Teacher Certification Examinations, without weeks and months of endless studying. Our comprehensive FTCE Mathematics 6-12 Secrets study guide is written by our exam experts, who painstakingly researched every topic and concept that you need to know to ace your test. Our original research reveals specific weaknesses that you can exploit to increase your exam score more than you've ever imagined. FTCE Mathematics 6-12 Secrets includes: The 5 Secret Keys to FTCE Test Success: Time Is Your Greatest Enemy, Guessing is Not Guesswork, Practice Smarter, Not Harder, Prepare, Don't Procrastinate, Test Yourself; Introduction to the FTCE Series; A comprehensive General Strategy review including: Make Predictions, Answer the Question, Benchmark, Valid Information, Avoid Fact Traps, Milk the Question, The Trap of Familiarity, Eliminate Answers, Tough Questions, Brainstorm, Read Carefully, Face Value, Prefixes, Hedge Phrases, Switchback Words, New Information, Time Management, Contextual Clues, Don't Panic, Pace Yourself, Answer Selection, Check Your Work, Beware of Directly Quoted Answers, Slang, Extreme Statements, Answer Choice Families; Along with a complete, in-depth study guide for your specific FTCE exam, and much more...




Teaching Mathematics in Grades 6 - 12


Book Description

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.




FTCE Mathematics 6-12


Book Description

Includes 15 competencies/skills sets found on the FTCE Mathematics 6-12 test and 125 sample-test questions. This guide is aligned specifically to standards prescribed by the Florida Department of Education.




Parallel Curriculum Units for Mathematics, Grades 6–12


Book Description

"Parallel Curriculum Units for Mathematics, Grades 6–12 combines four essential models for improving student understanding and growth in mathematics. The lessons provided in the textbook build on students′ abilities, so they can see all parts of a math problem and are able to tackle and understand it at various levels." —Elizabeth Alvarez, Assistant Principal John C. Dore Elementary, Chicago, IL Maximize your mathematics curriculum to challenge all students This collection of lessons, building on material presented in the best-selling The Parallel Curriculum, is written by experienced teachers who provide innovative and challenging learning opportunities for students in Grades 6–12. The four sample units focus on fractions, linear programming, geometry, and quadratic relationships. The authors provide user-friendly methods for creating high-quality lessons and demonstrate how to differentiate these lessons for the benefit of all students. Included are field-tested and standards-based strategies that guide students through: Understanding secondary-level mathematics concepts Discovering connections between mathematics and other subjects Developing critical thinking skills Connecting mathematics learning to society through the study of real-world data, proportional reasoning, and problem solving Each unit includes subject matter background, a content framework, study components, teacher reflections, and sample lessons. Learn from the experts and enhance your mathematics curriculum with these proven strategies.




Ways to Think About Mathematics


Book Description

Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.




Open Middle Math


Book Description

This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.




Visible Learning for Mathematics, Grades K-12


Book Description

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.




Transition Mathematics


Book Description




Teaching Mathematics for the 21st Century


Book Description

This third edition of T eaching Mathematics for the 21st Century continues to help teachers let the secret out-to open up to their students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a fascinating subject: mathematics. The rationale remains the same-to enable prospective and current teachers to access and use tools and strategies to effectively teach mathematics to contemporary students. Changing demographics, knowledge of how people learn, and technology all impact the way we educate our young people. This edition incorporates lessons and strategies from programs that have proven success in many types of classrooms. Many of these examples help students connect mathematics to real life situations and communicate their understanding of the underlying concepts. Although technology is constantly being upgraded, ways to increase student motivation through its application remains a goal. For example--since applets can enhance a lesson whether the teacher uses a computer projector, a "smart" board, or has students work individually on computers--we have identified several sources of mathematics applets that can be correlated to various lessons. Research citations and summaries have been updated to reflect current information on teaching and learning. For future teachers.