Posts Tagged "math"

New Review: CPM Educational Program’s AP Calculus, 3rd Edition

CPM's AP Calculus, 3rd Edition CPM Educational Program’s AP Calculus, 3rd Edition is a comprehensive single-variable calculus text that supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats. Learning List recently reviewed eBook materials for AP Calculus AB and BC.  Reviewers found the College Board’s big ideas, enduring understandings, and essential knowledge for AP Calculus AB and BC to be well addressed in course resources. Reviewers said that the course covers these concepts effectively in a rigorous, non-traditional format that requires students to investigate and connect new concepts and strategies.

CPM’s Calculus non-traditional approach to presenting content does not include some familiar features of a mathematics text, such as an instructional narrative and example problems with step-by-step solutions. Instead, instruction emphasizes “Study Teams” made up of two to four students who work together to discover strategies and solutions. Teams work together to answer questions, justify their reasoning, and identify multiple solution strategies. The teachers’ role is to encourage students’ teamwork, facilitate discussions, and provide support when teams encounter questions they are unable to answer. Learning List’s reviewers noted that CPM’s inquiry-based approach to instruction facilitates the integration of the College Board’s Mathematical Practices for AP Calculus (MPACs), explaining that students use the MPACs each day in their work in Study Teams.

Teacher resources include background and strategies (e.g., Math Chat) to support the implementation of Study Teams. Many lessons also include recorded podcasts, or “Mathcasts,” in which an expert teacher walks users through the lesson providing background information and suggesting teaching strategies. A “Teacher Support” appendix provides information about the course’s interactive math tools, links to each Mathcast video, printable resources for some lessons (e.g., polar graph paper), professional development information, SmartBoard files for each chapter, CPM Newsletters, and errata files.

About CPM*

cpm logo

[Source: CPM]

CPM began as a grant-funded mathematics project in 1989 to write textbooks to help students understand mathematics and support teachers who use these materials. CPM Educational Program is now a nonprofit educational consortium of middle and high school teachers and university professors that offers a complete mathematics program for grades 6 through 12 (Calculus) designed to engage all students in learning mathematics through problem solving, reasoning, and communication.

CPM’s Mission:

CPM’s mission is to empower mathematics students and teachers through exemplary curriculum, professional development, and leadership. We recognize and foster teacher expertise and leadership in mathematics education. We engage all students in learning mathematics through problem solving, reasoning, and communication.

CPM’s Vision:

CPM envisions a world where mathematics is viewed as intriguing and useful, and is appreciated by all; where powerful mathematical thinking is an essential, universal, and desirable trait; and where people are empowered by mathematical problem-solving and reasoning to solve the world’s problems.

*The content in this section is provided by or adapted from CPM.

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New Review: Cengage Learning Calculus (Larson), 11th Edition, AP Edition

Cengage Learning's AP Calculus (Larson)Learning List has reviewed Cengage Learning’s Calculus (Larson), 11th Edition, AP Edition. This is a comprehensive course for Advanced Placement (AP) calculus. Resources are available in print format and include some online resources. Instruction is designed specifically for AP courses and provides guidance in preparing for and taking AP exams. The text covers content for AP Calculus AB and BC courses.

Calculus opens with preface that discusses the AP Calculus exam and test preparation strategies. Core content is presented in 16 chapters that present content in a linear and logical manner. The first half of the course begins with a “Chapter P: Preparation for Calculus” that reviews key concepts needed for the study of calculus (e.g., linear models, rates of change, inverse functions), and then covers limits, differentiation, integration, differential equations, integration techniques, and logarithmic, exponential, and transcendental functions. The second half of the course addresses infinite series; conics, parametric equations, and polar coordinates; vectors and the geometry of space; vector-valued functions; functions of several variables; multiple integration; and vector analysis. Chapter 16 is available online and presents “Additional Topics in Differential Equations,” such as first-order equations and series solutions of differential equations.

Instruction supports discovery learning and the synthesis of the College Board’s big ideas for AP Calculus. Margin notes throughout the text support students’ preparation for AP exams and end-of-chapter exercises include questions formatted to reflect the AP exam. The level of rigor in instruction, in problem sets, and in AP Practice Questions matches that of the AP exam.

About Cengage Learning*

Cengage Learning is a leading educational content, technology, and services company for the higher education and K–12, professional and library markets worldwide. The company provides superior content, personalized services and course-driven digital solutions that accelerate student engagement and transform the learning experience.

Information in this section is provided by or adapted from Cengage Learning.

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New Review: Wiley Publishing’s Anton: Calculus, 11th Edition

Wiley Publishing's Anton: Calculus, 11th EditionLearning List has reviewed Wiley Publishing’s Anton: Calculus, 11th Edition. This comprehensive calculus product supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats and additional online instructional materials are available from Wiley.

Content is presented in 15 chapters that address limits and continuity; derivatives, including graphing and applications; differentiation; integrals, including applications and the principles of evaluating integrals; modeling with differential equations; infinite series; parametric and polar curves; conic sections; vector-valued functions; partial derivatives; multiple integrals; and topics in vector calculus. Appendices include a review of trigonometry and summaries of functions, including families of functions and inverse functions. Additional “Web Appendices” are available online and address additional topics, such as the use of technology (e.g., graphing calculators), selected proofs, and differential equations.

Online resources available at WileyPLUS facilitate teacher-led instruction and student self-study. These include ORION adaptive practice tools, video tutorials, animations, and printable study guides and solutions manuals for each chapter. ORION adaptive software provides a diagnostic assessment that evaluates students’ understanding of chapter content by each objective. Animations and videos demonstrate key concepts (e.g., graphing a piecewise function) with voiceover narration. Study guides summarize and review learning objectives, vocabulary, and key ideas from each chapter and each chapter section. Solutions manuals provide answers to odd-numbered exercises.

About Wiley Publishing*

Wiley’s mission is to help teachers teach and students learn. Wiley maximizes the value of its content by publishing it in all media, notably through WileyPLUS, the online solution which has been used by nearly 1 million students in about 20 nations worldwide. Available in virtually all our disciplines, WileyPLUS courses contain the full online version of the text, plus all of the integrated teaching and learning resources instructors and students need to solve the problems inherent to their courses. Using WileyPLUS, instructors automate the assigning and grading of homework, and build highly visual presentations to engage students. Students complete assignments online with instant feedback as they are working, link directly to specific portions of their online text, and track their own progress in a personal gradebook. Students using WileyPLUS have consistently reported better understanding of material, better performance in class, and greater interest in learning.

Information in this section is provided by or adapted from Wiley Publishing.

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New Review: TeachMe’s Math Games

TeachMe Math GamesLearning List has reviewed TeachMe’s Math Games. This is a supplemental online product that supports math instruction for grades PK-8. Instruction uses an online suite of math games and apps to engage students using interactive, play-based learning experiences. Games address the Common Core State Standards Mathematics (CCSSM) content standards at each grade level. The CCSSM Mathematical Process Standards are not taught.

Math Games organizes content at each grade level by math skills (e.g., comparison, fractions) and CCSSM content standards. Instruction is presented in games that provide corrective feedback and progress through a set of related skills. Many games are text-based and require students to read instructions, word problems, and written answers, which may present challenges for emerging readers, struggling readers, and English language learners. A robotic audio reader is provided.

Learning List’s reviewers found Math Games to be a valuable resource in supporting RtI students, noting that teachers may create customized lessons to improve fluency and to address basic concepts (e.g., open or closed shapes) that build understanding of more rigorous content. Math Games are available at no cost at

About TeachMe*

TeachMe’s games and apps are guided by the Common Core State Standards for Mathematics and pay careful attention to regional curriculum all over the world. Math Games uses a customized approach to learning and games change based on who is playing, their mastery of skills and their experiences.

Information in this section is provided by or adapted from Math Games.

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New Review: BrainPop

BrainPopLearning List recently reviewed BrainPOP’s core content resources (i.e., science, social studies, mathematics, and English language arts) for grades K-8. BrainPOP is a supplemental program that supports instruction in the core content areas as well as technology, arts and music, and health. Resources are available online and include some printable materials (e.g., worksheets). Instruction uses engaging videos and interactive concept maps to address content.

BrainPOP organizes content in “Topics” that address a range of subject-area concepts (e.g., atoms, citizenship, writing skills). Topics include a short movie in which an animated characters named Annie (grades K-3) and Tim (grades 4-8) and their robot friend Moby explore a question (e.g., How do tornadoes form?). Movies provide background information, explore and illustrate key concepts (e.g., updrafts), and introduce and define new vocabulary.

After the movie, students can “Make a Map” and/or take a short quiz over content. Make a Map allows students to create a concept map using a set of premade map templates, such as compare and contrast, vocabulary, cyclical relationships, and problem/solution analysis. Tools also allow students to create entirely new concept maps. The quiz is a five-question multiple-choice check for understanding.

Other resources include content-related games, an “FYI” feature, and additional activities related to the video. FYI is a set of 5-paragraph, illustrated, informational articles and a related comic that extend students’ learning. For example, the FYI for a social studies topic addressing the California Gold Rush includes articles about traveling to California Trail and the Donner Party, John Sutter, and a comic addressing gold prices.

About BrainPOP*

BrainPOP was founded in 1999 by Avraham Kadar, M.D., an immunologist and pediatrician, as a creative way to explain difficult concepts to his young patients. Today, BrainPOP is used in 25 percent of U.S. elementary and middle schools, with rapid international growth. An in-house team of educators, animators, and writers produce and continually improve BrainPOP, incorporating valuable teacher and parent input.

*Information in this section is provided by or adapted from BrainPOP.

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