Eureka Math Algebra II Study Guide

Eureka Math Algebra II Study Guide
Author: Great Minds
Publisher: John Wiley & Sons
Total Pages: 168
Release: 2016-08-15
Genre: Education
ISBN: 1118812204

The team of teachers and mathematicians who created Eureka Math™ believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered before. The Study Guides are a companion to the Eureka Math program, whether you use it online or in print. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone—even non-Eureka users—can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. We're here to make sure you succeed with an ever-growing library of resources. Take advantage of the full set of Study Guides available for each grade, PK-12, or materials at eureka-math.org, such as free implementation and pacing guides, material lists, parent resources, and more.

The History of Mathematics

The History of Mathematics
Author: David M. Burton
Publisher: WCB/McGraw-Hill
Total Pages: 544
Release: 1985
Genre: Mathematics
ISBN: 9780697068552

"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers
Author: Nicholas H. Wasserman
Publisher: Springer
Total Pages: 465
Release: 2018-12-12
Genre: Education
ISBN: 3319992147

Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.

Teaching School Mathematics: Pre-Algebra

Teaching School Mathematics: Pre-Algebra
Author: Hung-Hsi Wu:
Publisher: American Mathematical Soc.
Total Pages: 407
Release: 2016-06-29
Genre: Education
ISBN: 1470427206

This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.

Modular Programming Languages

Modular Programming Languages
Author: Jürg Gutknecht
Publisher: Springer
Total Pages: 310
Release: 2006-12-31
Genre: Computers
ISBN: 3540445196

Thecircleisclosed.The European Modula-2 Conference was originally launched with the goal of increasing the popularity of Modula-2, a programming language created by Niklaus Wirth and his team at ETH Zuric ̈ h as a successor of Pascal. For more than a decade, the conference has wandered through Europe, passing Bled,Slovenia,in1987,Loughborough,UK,in1990,Ulm,Germany,in1994,and Linz, Austria, in 1997. Now, at the beginning of the new millennium, it is back at its roots in Zuric ̈ h, Switzerland. While traveling through space and time, the conference has mutated. It has widened its scope and changed its name to Joint Modular Languages Conference (JMLC). With an invariant focus, though, on modularsoftwareconstructioninteaching,research,and“outthere”inindustry. This topic has never been more important than today, ironically not because of insu?cient language support but, quite on the contrary, due to a truly c- fusing variety of modular concepts o?ered by modern languages: modules, pa- ages, classes, and components, the newest and still controversial trend. “The recent notion of component is still very vaguely de?ned, so vaguely, in fact, that it almost seems advisable to ignore it.” (Wirth in his article “Records, Modules, Objects, Classes, Components” in honor of Hoare’s retirement in 1999). Clar- cation is needed.

HT THINK LIKE A COMPUTER SCIEN

HT THINK LIKE A COMPUTER SCIEN
Author: Jeffrey Elkner
Publisher: Samurai Media Limited
Total Pages: 306
Release: 2016-10-04
Genre: Computers
ISBN: 9789888406784

The goal of this book is to teach you to think like a computer scientist. This way of thinking combines some of the best features of mathematics, engineering, and natural science. Like mathematicians, computer scientists use formal languages to denote ideas (specifically computations). Like engineers, they design things, assembling components into systems and evaluating tradeoffs among alternatives. Like scientists, they observe the behavior of complex systems, form hypotheses, and test predictions. The single most important skill for a computer scientist is problem solving. Problem solving means the ability to formulate problems, think creatively about solutions, and express a solution clearly and accurately. As it turns out, the process of learning to program is an excellent opportunity to practice problem-solving skills. That's why this chapter is called, The way of the program. On one level, you will be learning to program, a useful skill by itself. On another level, you will use programming as a means to an end. As we go along, that end will become clearer.

Helping Children Learn Mathematics

Helping Children Learn Mathematics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 53
Release: 2002-07-31
Genre: Education
ISBN: 0309131987

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.