Mathematics.Pdf

Total Page:16

File Type:pdf, Size:1020Kb

Mathematics.Pdf Mathematics Courses Mathematics MATH 28: Math Fundamentals I Units: 4 Prerequisites: None Lecture 3.50 hours, laboratory 1.50 hours. Course Typically Offered: Fall, Spring This course covers the fundamentals of real numbers, pattern recognition and generalization, graphs and functions, basics of exponents, and solving of proportions and equations. It develops the relationship between realistic applications and quantitative reasoning. (Materials Fee: $20.00) MATH 30: Elementary Algebra Units: 4 Prerequisites: MATH 28 or eligibility determined by the math placement process. Lecture 4 hours. Course Typically Offered: Fall, Spring, and Summer Designed to prepare students for intermediate algebra, this course teaches simplifying algebraic expressions involving Mathematics, the abstract, deductive study of pattern and polynomials and rational terms; factoring; solving linear structure, is the foundation of all science and technology equations; solving quadratic and rational equations using programs, such as biological, physical, computer, behavioral, factoring; analyzing graphs of linear equations; and solving and social sciences as well as engineering. Areas of applied problems. mathematics include arithmetic, algebra, geometry, calculus, and various other theoretical and applied subjects. Students MATH 36: Intermediate Algebra- Learning Assistance for Pre- take mathematics courses to prepare for a mathematics major, Calculus to meet prerequisites in related disciplines, or to fulfill general Units: 1 education requirements. A bachelor's degree in mathematics Prerequisites: MATH 30 or eligibility determined by the math can lead to a career in a computer-related field or as an placement process actuary, accountant, mathematician, statistician, or teacher. Corequisite: MATH 126. Lecture 1 hour. Academic and Career Pathway: Math and Sciences Course Typically Offered: Fall, Spring, and Summer Contact Information This course reviews the core prerequisite skills and concepts needed for success in precalculus and is intended for Chair: Leila Safaralian Department: Mathematics students majoring in science, technology, engineering, and Dean: Michael Fino Office: Building OC3600, mathematics who are concurrently enrolled in MATH 126. https://www.miracosta.edu/ 760.757.2121 x6924 Topics include a review of computational skills developed in academics/degree-and- intermediate algebra: factoring, operations on rational and certificate-programs/math- radical expressions, exponential and logarithmic expressions and-sciences/mathematics/ and equations, functions including composition and inverses, index.html and an in-depth focus on linear and quadratic functions. Topics in MATH 36 are taught strategically throughout the semester Full-Time Faculty to provide a just-in-time instruction of prerequisite skills needed Janeen Apalatea Serena Mercado to master concepts in MATH 126 as they arise. This course is Angela Beltran Shannon Myers appropriate for students who are confident in their graphing David Bonds Lemee Nakamura and beginning algebra skills. Offered pass/no pass. Keith Dunbar Victoria Noddings MATH 64: Intermediate Algebra Scott Fallstrom Zikica Perovic Units: 4 Shawn Firouzian Brent Pickett Prerequisites: MATH 30 or eligibility determined by the math Mary Beth Headlee Beth Powell placement process. Mark Laurel Leila Safaralian Enrollment Limitation: Not open to students with prior credit in Apolinar Mariscal MATH 64S. Lecture 4 hours. Course Typically Offered: Fall, Spring, and Summer This algebra course covers radicals, exponents, concepts of relations and functions, exponential and logarithmic functions, linear and quadratic functions, and the solutions of equations from these topics. Mathematics 1 Mathematics MATH 64S: Intermediate Algebra with Integrated Support MATH 103S: Statistics with Integrated Support Units: 6 Units: 5 Prerequisites: MATH 30 or eligibility determined by the math Prerequisites: None placement process. Acceptable for Credit: CSU Enrollment Limitation: Not open to students with prior credit in Lecture 4.50 hours, laboratory 1.50 hours. MATH 32 or MATH 64. Course Typically Offered: Fall, Spring, and Summer Lecture 5 hours, laboratory 3 hours. Course Typically Offered: Fall, Spring, and Summer This course introduces the use of probability techniques, hypothesis testing, and predictive techniques to facilitate This algebra course covers radicals, exponents, concepts of decision-making. Topics include descriptive statistics; probability relations and functions, exponential and logarithmic functions, and sampling distributions; statistical inference; correlation linear and quadratic functions, and the solutions of equations and linear regression; analysis of variance, chi-square, and from these topics. It includes just-in-time support for these topics t-tests; and application of technology for statistical analysis, and is intended for students who are eligible for enrollment in including the interpretation of the relevance of statistical MATH 30, Elementary Algebra. Review topics include solving findings. Students use appropriate statistical techniques to and graphing linear equations and inequalities in one and two analyze and interpret applications based on data from a broad variables, solving and graphing systems of equations in two range of disciplines. The course includes just-in-time support for variables, factoring, algebraic operations on polynomial and these topics. rational expressions, solving quadratics using factoring, and MATH 105: Concepts and Structures of Elementary rational equations and inequalities. Mathematics I MATH 102: Math Fundamentals II: Mathematics for Life Units: 3 Units: 4 Prerequisites: MATH 64, MATH 64S, or eligibility determined by Prerequisites: MATH 28, MATH 30, or eligibility determined by the the math placement process. math placement process. Acceptable for Credit: CSU, UC Acceptable for Credit: CSU, UC Lecture 2 hours, laboratory 3 hours. Lecture 3.50 hours, laboratory 1.50 hours. Course Typically Offered: Fall, Spring Course Typically Offered: Fall, Spring, and Summer This course covers set theory, problem solving, systems of This course covers the fundamentals of logic, including numeration, elementary number theory, numerical operations, fallacies, inductive and deductive reasoning, conditional and arithmetic algorithms. It emphasizes cognitive learning and statements, and the evaluation of arguments; the basic ideas the development of problem solving strategies and techniques. of finance, including simple and compound interest, amortized Students work collaboratively in groups and/or independently loans, and retirement accounts; ideas of probability and using manipulatives and models to explore structures and applications of probability to realistic situations; and problem formulate concepts. UC CREDIT LIMITATION: Credit for MATH 105 solving and data analysis techniques. The course provides or MATH 106. students with a strong foundation in quantitative reasoning and MATH 106: Concepts and Structures of Elementary mathematical concepts applicable to everyday life situations Mathematics II and long-term decision-making strategies. (Materials Fee: Units: 3 $20.00) Prerequisites: MATH 105. MATH 103: Statistics Acceptable for Credit: CSU, UC Units: 4 Lecture 2 hours, laboratory 3 hours. Prerequisites: MATH 28 or MATH 30 or eligibility determined by Course Typically Offered: Spring the math placement process. Acceptable for Credit: CSU, UC This continuation of MATH 105 covers the mathematical Lecture 4 hours. concepts needed for teaching elementary school Course Typically Offered: Fall, Spring, and Summer mathematics. Core topics include the real number system, geometry, Pythagorean theorem, measurement in both the This course introduces the use of probability techniques, English and metric systems, transformations, and symmetry. hypothesis testing, and predictive techniques to facilitate Students must demonstrate their understanding of the concepts decision-making. Topics include descriptive statistics; probability and structures of elementary mathematics using critical and sampling distributions; statistical inference; correlation thinking. UC CREDIT LIMITATION: Credit for MATH 105 or MATH and linear regression; analysis of variance, chi-square, and 106. t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of statistical findings. Students use appropriate statistical techniques to analyze and interpret applications based on data from a broad range of disciplines. UC CREDIT LIMITATION: Credit for BTEC 180/ BTEC 180H, BUS 204/BUS 204H, MATH 103, PSYC 104/PSYC 104H, or SOC 125. Some CSU campuses may also impose this credit limitation. 2 Mathematics Mathematics MATH 112: Mathematical Analysis MATH 126: Pre-Calculus I: College Algebra Units: 3 Units: 4 Prerequisites: MATH 64, MATH 64S, or eligibility determined by Prerequisites: MATH 64, MATH 64S, or eligibility determined by the math placement process. the math placement process. Acceptable for Credit: CSU, UC Enrollment Limitation: Concurrent enrollment in MATH 36 if Lecture 3 hours. prerequisite not met. Course Typically Offered: Fall, Spring, and Summer Acceptable for Credit: CSU, UC Lecture 4 hours. This course is designed around applications of mathematics Course Typically Offered: Fall, Spring, and Summer in economic and business contexts. The course addresses business models that incorporate linear, quadratic, polynomial, This course covers advanced algebra topics
Recommended publications
  • Feasibility Study for Teaching Geometry and Other Topics Using Three-Dimensional Printers
    Feasibility Study For Teaching Geometry and Other Topics Using Three-Dimensional Printers Elizabeth Ann Slavkovsky A Thesis in the Field of Mathematics for Teaching for the Degree of Master of Liberal Arts in Extension Studies Harvard University October 2012 Abstract Since 2003, 3D printer technology has shown explosive growth, and has become significantly less expensive and more available. 3D printers at a hobbyist level are available for as little as $550, putting them in reach of individuals and schools. In addition, there are many “pay by the part” 3D printing services available to anyone who can design in three dimensions. 3D graphics programs are also widely available; where 10 years ago few could afford the technology to design in three dimensions, now anyone with a computer can download Google SketchUp or Blender for free. Many jobs now require more 3D skills, including medical, mining, video game design, and countless other fields. Because of this, the 3D printer has found its way into the classroom, particularly for STEM (science, technology, engineering, and math) programs in all grade levels. However, most of these programs focus mainly on the design and engineering possibilities for students. This thesis project was to explore the difficulty and benefits of the technology in the mathematics classroom. For this thesis project we researched the technology available and purchased a hobby-level 3D printer to see how well it might work for someone without extensive technology background. We sent designed parts away. In addition, we tried out Google SketchUp, Blender, Mathematica, and other programs for designing parts. We came up with several lessons and demos around the printer design.
    [Show full text]
  • Elementary Math Program
    North Shore Schools Elementary Mathematics Curriculum Our math program, Math in Focus, is based upon Singapore Math, which places an emphasis on developing proficiency with problem solving while fostering conceptual understanding and fundamental skills. Online resources are available at ThinkCentral using the username and password provided by the classroom teacher. The mathematics curriculum is aligned with the Common Core Learning Standards (CCLS). There are eight Mathematical Practices that set an expectation of understanding of mathematics and are the same for grades K-12. Mathematical Practices 1. Make sense of problems and persevere in 4. Model with mathematics. solving them. 5. Use appropriate tools strategically. 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments and critique the 7. Look for and make use of structure. reasoning of others. 8. Look for and express regularity in repeated reasoning. The content at each grade level focuses on specific critical areas. Kindergarten Representing and Comparing Whole Numbers Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not required.) Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away.
    [Show full text]
  • Math for Elementary Teachers
    Math for Elementary Teachers Math 203 #76908 Name __________________________________________ Spring 2020 Santiago Canyon College, Math and Science Division Monday 10:30 am – 1:25 pm (with LAB) Wednesday 10:30 am – 12:35 pm Instructor: Anne Hauscarriague E-mail: [email protected] Office: Home Phone: 714-628-4919 Website: www.sccollege.edu/ahauscarriague (Grades will be posted here after each exam) Office Hours: Mon: 2:00 – 3:00 Tues/Thurs: 9:30 – 10:30 Wed: 2:00 – 4:00 MSC/CraniumCafe Hours: Mon/Wed: 9:30 – 10:30, Wed: 4:00 – 4:30 Math 203 Student Learning Outcomes: As a result of completing Mathematics 203, the student will be able to: 1. Analyze the structure and properties of rational and real number systems including their decimal representation and illustrate the use of a representation of these numbers including the number line model. 2. Evaluate the equivalence of numeric algorithms and explain the advantages and disadvantages of equivalent algorithms. 3. Analyze multiple approaches to solving problems from elementary to advanced levels of mathematics, using concepts and tools from sets, logic, functions, number theory and patterns. Prerequisite: Successful completion of Math 080 (grade of C or better) or qualifying profile from the Math placement process. This class has previous math knowledge as a prerequisite and it is expected that you are comfortable with algebra and geometry. If you need review work, some resources are: School Zone Math 6th Grade Deluxe Edition, (Grade 5 is also a good review of basic arithmetic skills); Schaum’s Outline series Elementary Mathematics by Barnett Rich; www.math.com; www.mathtv.com; and/or www.KhanAcademy.com.
    [Show full text]
  • Elementary Mathematics Framework
    2015 Elementary Mathematics Framework Mathematics Forest Hills School District Table of Contents Section 1: FHSD Philosophy & Policies FHSD Mathematics Course of Study (board documents) …….. pages 2-3 FHSD Technology Statement…………………………………...... page 4 FHSD Mathematics Calculator Policy…………………………….. pages 5-7 Section 2: FHSD Mathematical Practices Description………………………………………………………….. page 8 Instructional Guidance by grade level band …………………….. pages 9-32 Look-for Tool……………………………………………………….. pages 33-35 Mathematical Practices Classroom Visuals……………………... pages 36-37 Section 3: FHSD Mathematical Teaching Habits (NCTM) Description………………………………………………………….. page 38 Mathematical Teaching Habits…………………...……………….. pages 39-54 Section 4: RtI: Response to Intervention RtI: Response to Intervention Guidelines……………………….. pages 55-56 Skills and Scaffolds………………………………………………... page 56 Gifted………………………………………………………………... page 56 1 Section 1: Philosophy and Policies Math Course of Study, Board Document 2015 Introduction A team of professional, dedicated and knowledgeable K-12 district educators in the Forest Hills School District developed the Math Course of Study. This document was based on current research in mathematics content, learning theory and instructional practices. The Ohio’s New Learning Standards and Principles to Actions: Ensuring Mathematical Success for All were the main resources used to guide the development and content of this document. While the Ohio Department of Education’s Academic Content Standards for School Mathematics was the main source of content, additional sources were used to guide the development of course indicators and objectives, including the College Board (AP Courses), Achieve, Inc. American Diploma Project (ADP), the Ohio Board of Regents Transfer Assurance Guarantee (TAG) criteria, and the Ohio Department of Education Program Models for School Mathematics. The Mathematics Course of Study is based on academic content standards that form an overarching theme for mathematics study.
    [Show full text]
  • Presentation on Key Ideas of Elementary Mathematics
    Key Ideas of Elementary Mathematics Sybilla Beckmann Department of Mathematics University of Georgia Lesson Study Conference, May 2007 Sybilla Beckmann (University of Georgia) Key Ideas of Elementary Mathematics 1/52 US curricula are unfocused A Splintered Vision, 1997 report based on the TIMSS curriculum analysis. US state math curriculum documents: “The planned coverage included so many topics that we cannot find a single, or even a few, major topics at any grade that are the focus of these curricular intentions. These official documents, individually or as a composite, are unfocused. They express policies, goals, and intended content coverage in mathematics and the sciences with little emphasis on particular, strategic topics.” Sybilla Beckmann (University of Georgia) Key Ideas of Elementary Mathematics 2/52 US instruction is unfocused From A Splintered Vision: “US eighth grade mathematics and science teachers typically teach far more topic areas than their counterparts in Germany and Japan.” “The five surveyed topic areas covered most extensively by US eighth grade mathematics teachers accounted for less than half of their year’s instructional periods. In contrast, the five most extensively covered Japanese eighth grade topic areas accounted for almost 75 percent of their year’s instructional periods.” Sybilla Beckmann (University of Georgia) Key Ideas of Elementary Mathematics 3/52 Breaking the “mile-wide-inch-deep” habit Every mathematical skill and concept has some useful application has some connection to other concepts and skills So what mathematics should we focus on? Sybilla Beckmann (University of Georgia) Key Ideas of Elementary Mathematics 4/52 What focus? Statistics and probability are increasingly important in science and in the modern workplace.
    [Show full text]
  • Mathematics (MATH) 1
    Mathematics (MATH) 1 MATH 116Q. Introduction to Cryptology. 1 Unit. Mathematics (MATH) This course gives a historical overview of Cryptology and the mathematics behind it. Cryptology is the science of making (and Courses breaking) secret codes. From the oldest recorded codes (taken from hieroglyphic engravings) to the modern encryption schemes necessary MATH 104Q. Introduction to Logic. 1 Unit. to secure information in a global community, Cryptology has become An introduction to the informal and formal principles, techniques, an intrinsic part of our culture. This course will examine not only the and skills that are necessary for distinguishing correct from incorrect mathematics behind Cryptology, but its cultural and historical impact. reasoning. Offered each semester. Cross-listed as PHIL 104Q. Topics will include: matrix methods for securing data, substitutional MATH 110Q. Elementary Mathematics. 1 Unit. ciphers, transpositional codes, Vigenere ciphers, Data Encryption Elementary mathematics is a content course, not a course in methods Standard (DES), and public key encryption. The mathematics of teaching. The Elementary Mathematics course will explore the encountered as a consequence of the Cryptology schemes studied development of the number system, properties of and operations with will include matrix algebra, modular arithmetic, permutations, statistics, rational numbers; ratio; proportion; percentages; an introduction to real probability theory, and elementary number theory. Offered annually, numbers; elementary algebra; informal geometry and measurement; either fall or spring semester. and introduces probability and descriptive statistics. Offered annually, MATH 122Q. Calculus for Business Decisions. 1 Unit. either fall or spring semester. This course covers tools necessary to apply the science of decision- MATH 111Q. Finite Mathematics.
    [Show full text]
  • Examining Curricular Coverage of Volume Measurement: a Comparative Analysis
    International Journal on Social and Education Sciences Volume 2, Issue 1, 2020 ISSN: 2688-7061 (Online) Examining Curricular Coverage of Volume Measurement: A Comparative Analysis Dae S. Hong University of Iowa, United States, [email protected] Kyong Mi Choi University of Virginia, United States Cristina Runnalls California State Polytechnic University, United States Jihyun Hwang University of Iowa, United States Abstract: In this study, we examined and compared volume and volume-related lessons in two common core aligned U.S. textbook series and Korean elementary textbooks. Because of the importance of textbooks in the lesson enactment process, examining what textbooks offer to students and teachers is important. Since different parts of a textbook provide potentially different opportunities to learn (OTL) to students, we examined exposition, worked examples, and exercise problems as these three areas potentially provide OTL to teachers and students. We paid attention to various OTL that textbooks provide to teachers and students, the number of volume and volume-related lessons, students' development, learning challenges in volume measurement and response types. Our results showed that both countries' textbooks only provide limited attention to volume lessons, learning challenges are not well addressed, conceptual items were presented as isolated topics, and students often need to provide just short responses. We also made recommendations to teachers and textbook authors. Keywords: Elementary textbooks, Volume Measurement, United States
    [Show full text]
  • Elementary Math Methods Criswell Fall 2019 Syllabus DUKE
    On-Campus Course Syllabus EDU 315 Math Instructional Methods Fall 2019 Class Information Day and Time: Mondays 7:00-9:30 p.m. Room Number: E 202 Contact Information Instructor Name: Dawna Duke Instructor Email: [email protected] Instructor Phone: 214.532.4889 Instructor Office Hours: n/a Course Description and Prerequisites This course is designed to prepare teacHers to evaluate, plan, and deliver math lessons that are appropriate for learners from early cHildHood to 6th grade as well as assess student math knowledge and skills througH a student-centered, inquiry approacH. Students will be introduced to methods for teacHing all cHildren developmentally appropriate topics in Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability (the five NCTM content Standards & TEKS). (9 clock hours of field experience are required for this course.) Course Objectives 1. Be familiar with the NCTM Principles and Standards for School Mathematics, the Texas Essential Knowledge and Skills, and apply them to mathematics planning and instruction. 2. Be familiar with the Professional Standards for Teaching Mathematics and How they influence teacHing methods. 3. Discuss the current influences on and reform movements aimed at mathematics instruction in American scHools. 4. Plan lessons that Incorporate “Doing” mathematics in the elementary classroom. 5. TeacH in a developmentally appropriate way wHicH reflects a constructivist view of learning. 6. Use problem-solving as a principle instructional strategy wHile designing and selecting effective learning tasks. 7. Use a variety of assessment skills to evaluate student progress in mathematics. Required Textbooks TD: Van de Walle, J. A., K.S.K & Bay-Williams, J.
    [Show full text]
  • Examining How Teachers Use Graphs to Teach Mathematics During a Professional Development Program
    Journal of Education and Training Studies Vol. 3, No. 2; March 2015 ISSN 2324-805X E-ISSN 2324-8068 Published by Redfame Publishing URL: http://jets.redfame.com Examining How Teachers Use Graphs to Teach Mathematics during a Professional Development Program Alfredo Bautista1,3, María C. Cañadas2, Bárbara M. Brizuela3, Analúcia D. Schliemann3 1National Institute of Education, Nanyang Technological University, Singapore 2Departamento de Didáctica de la Matemática, Universidad de Granada, Spain 3Department of Education, Tufts University, USA Correspondence: Alfredo Bautista, Research Scientist & Lecturer. Education & Cognitive Development Lab (ECDL), NIE / Nanyang Technological University. 1 Nanyang Walk. NIE5-B3-16, Singapore Received: January 19, 2015 Accepted: February 3, 2015 Online Published: February 12, 2015 doi: 10.11114/jets.v3i2.676 URL: http://dx.doi.org/10.11114/jets.v3i2.676 Abstract There are urgent calls for more studies examining the impact of Professional Development (PD) programs on teachers’ instructional practices. In this study, we analyzed how grades 5-9 mathematics teachers used graphs to teach mathematics at the start and end of a PD program. This topic is relevant because while many studies have investigated students’ difficulties with graphs, there is limited research on how teachers use graphs in their classrooms and no research on how PD impacts the way teachers use graphs in class to teach mathematics. Participant teachers took three graduate level semester-long courses focused on mathematics and student mathematical thinking. The program provided teachers with multiple opportunities for exploration and discussion, systematic feedback, contexts for collaboration and collegial sharing, and extended follow-up support. We analyzed all lessons where teachers used graphs in class at the start and end of the program, finding that teachers’ use of graphs was qualitatively more sophisticated in the end lessons.
    [Show full text]
  • Mathematics for Elementary Teachers, Math 277 Syllabus
    MAYVILLE STATE UNIVERSITY Mathematics for Elementary Teachers, Math 277 Syllabus MATH 277 (10745) 3 Semester Hours Fall 2018 Instructor: Gretchen Peterson E-mail: [email protected] Hours of Availability: I will be available by appointment as scheduled through e-mail. Instruction Mode: On Campus Time Zone: All times indicated throughout this syllabus reflect Central Time (CT). Learning Management System (LMS) used for this Course: Blackboard Course Description: A mathematics content course for prospective elementary school teachers. Topics include problem solving, numeration systems, real numbers, number theory, geometry, probability, statistics, and algebra. Math manipulatives are used in this course. (CCN course) Pre-requisite: MATH 103 or equivalent. Purpose of the Course: Math for Elementary Teachers is a required course for elementary education majors with a purpose to prepare pre-service teachers to learn to demonstrate proper techniques to solve elementary mathematics problems multiple ways. This course involves integration of manipulatives and technology that play an integral part in the teaching of mathematics at the elementary school level. Critical thinking and problem solving are an important part of this course. Students will demonstrate the ability to show multiple methods of solving elementary mathematics problems, to differentiate instruction based on student abilities, and to write word problems and open ended questions to determine if students understand mathematical concepts. Conceptual Framework: Teacher education courses are based upon the Conceptual Framework: Reflective Experiential Teacher. The Reflective Experiential Teacher conceptual framework is based upon a belief that pre-service teachers develop abilities to reflect on current research findings, essential and theoretical knowledge, and appropriate teaching strategies and practices through experience.
    [Show full text]
  • Common Core State Standards for MATHEMATICS
    Common Core State StandardS for mathematics Common Core State StandardS for MATHEMATICS table of Contents Introduction 3 Standards for mathematical Practice 6 Standards for mathematical Content Kindergarten 9 Grade 1 13 Grade 2 17 Grade 3 21 Grade 4 27 Grade 5 33 Grade 6 39 Grade 7 46 Grade 8 52 High School — Introduction High School — Number and Quantity 58 High School — Algebra 62 High School — Functions 67 High School — Modeling 72 High School — Geometry 74 High School — Statistics and Probability 79 Glossary 85 Sample of Works Consulted 91 Common Core State StandardS for MATHEMATICS Introduction Toward greater focus and coherence Mathematics experiences in early childhood settings should concentrate on (1) number (which includes whole number, operations, and relations) and (2) geometry, spatial relations, and measurement, with more mathematics learning time devoted to number than to other topics. Mathematical process goals should be integrated in these content areas. — Mathematics Learning in Early Childhood, National Research Council, 2009 The composite standards [of Hong Kong, Korea and Singapore] have a number of features that can inform an international benchmarking process for the development of K–6 mathematics standards in the U.S. First, the composite standards concentrate the early learning of mathematics on the number, measurement, and geometry strands with less emphasis on data analysis and little exposure to algebra. The Hong Kong standards for grades 1–3 devote approximately half the targeted time to numbers and almost all the time remaining to geometry and measurement. — Ginsburg, Leinwand and Decker, 2009 Because the mathematics concepts in [U.S.] textbooks are often weak, the presentation becomes more mechanical than is ideal.
    [Show full text]
  • LDOE Believe and Prepare Math Collaborative Elementary
    LDOE Believe and Prepare Math Collaborative Model Methods Course Outline: Elementary Mathematics 2020 Fall LDOE Believe and Prepare Math Collaborative, led by The Charles A. Dana Center at The University of Texas at Austin Fall 2020 LDOE Believe and Prepare Math Collaborative Model Methods Course Outline: Elementary Mathematics Acknowledgments LDOE Believe and Prepare Math Collaborative Members Heather Brooks, Principal, Haynesville Elementary School, Claiborne Parish Schools Jessie Church, Clinical Instructor, Curriculum and Instruction, School of Education, Northwestern State University of Louisiana Kathi Cook, Manager, K12 Course Programs, Charles A. Dana Center Heidi Cox, Mathematics Academic Coach, Belle Chasse Academy, Belle Chasse Julia Dezen, Director of Mathematics for Instruction Partners, Firstline Schools, New Orleans Lana G. Duvall, District Mathematics Instructional Specialist, St. Landry Parish Schools ** Dr. Christine Eastman, Instructor, Department of Mathematical Sciences, McNeese State University Lindsey Fontenot, K–12 Mathematics Supervisor, Cameron Parish School Board** LaDeisha George, Supervisor, Curriculum and Instructional Support, Allen Parish Schools* Lori Gerard, 6–12 Mathematics Instructional Coach, Lafayette Parish School System* Valerie Hall, Assistant Principal, St. Amant High School, Ascension Parish Schools Molly Hill, Instructor, School of Education, University of Louisiana Monroe Dr. David Kirshner, Professor, School of Education, Louisiana State University Latrenda Knighten, Elementary Mathematics Instructional Coach, East Baton Rouge Parish School System* Jackie LeJeune, Professional Learning Facilitator, K–12 Services, Charles A. Dana Center Dr. Janelle K. Lorenzen, Assistant Professor, Department of Mathematics, Southeastern Louisiana University Ashley Malmay, Instructional Coach, Mangham Elementary School, Richland Parish Schools Rebecca Nguyen, GeauxTeach Master Teacher, College of Science (Mathematics), Louisiana State University Connie Richardson, Manager, Higher Education Course Programs, Charles A.
    [Show full text]