Unit 2 Homework Assignments
Homework Cover Sheets
The Elementary Mathematics Project (EMP) is an NSF-funded project out of Boston University whose overarching goal is to develop and disseminate learning materials that strengthen pre-service elementary teachers’ understanding of mathematics. Learn More .
Our mission.
Mathematical knowledge for teaching (MKT) refers to the “mathematical knowledge needed to carry out the work of teaching mathematics” (Ball, Thames, & Phelps, 2008). Simply knowing how to do mathematics is not sufficient; teachers must also know the mathematics they teach deeply and in ways that can help their students learn. The importance of developing this mathematical knowledge through coursework and professional development is undeniable (CBMS, 2012).
In light of this need, our mission is two-fold: 1) to develop and test learning materials to improve pre-service elementary teachers’ mathematical knowledge for teaching; and 2) to develop and test instructor support materials to grow faculty expertise in using our learning materials in their content and methods courses.
The EMP curriculum includes more than 50 lessons and corresponding support materials spanning 7 key mathematical content areas, or units. These units can be combined in different ways to create two or three college-level courses (depending on credit hours) for teaching mathematics content to future elementary teachers. The content and pedagogies used in the EMP instructional materials align with recommendations from the Association of Mathematics Teacher Educators’ Standards for Preparing Teachers of Mathematics and the Conference Board of the Mathematical Sciences’ Mathematical Education of Teachers I and II reports. Content focuses on essential concepts and procedures that future elementary teachers need to understand. The lessons were designed to be taught using inquiry and research-based instructional strategies. For example, in order to support the construction of shared meaning, PTs participate in discourse communities where learning revolves around discussions, student-led presentations, and problem solving.
The EMP curriculum includes support materials (print, interactive software, and videos) for faculty members. The support materials include general information related to all units such as documents about setting classroom norms and using discussion-based instruction; information related to each specific unit such as documents about online teaching and the key mathematical ideas; and information related to each specific lesson such as Instructor’s Guides and homework files. These materials are educative – namely, they were designed so that faculty members could learn from them. Educative features of the Instructor’s Guides include: a) elaborations of the mathematical content, including representations regularly used in elementary instruction, b) suggestions for how to use student-centered pedagogies, c) information about the instructor’s role as a co-participant in the community, d) details about PTs as learners of this content, and e) connections to teaching elementary children the content.
The Fractions unit consists of 10 mathematical lessons that explore important fraction concepts as well as fraction operations. Topics studied include the concept of a fraction, equivalent fractions, fraction comparisons, addition and subtraction of fractions, multiplication and division of fractions, and converting fractions to decimals. These lessons emphasize topics that are most relevant to the teaching of children in grades K-5, and are mentioned in the Common Core State Standards for Mathematics (2010).
The Number Theory unit consists of 6 mathematical lessons that explore important number theory concepts and procedures typically studied starting in the elementary grades. Topics studied include factors, prime factorization, divisibility, divisibility rules, greatest common factor, and least common multiple. Emphasis is placed on developing a deeper understanding of the multiplicative structure of integers, a central concept in number theory that supports other critical topics in the elementary grades.
The Geometric Measurement unit consists of 9 mathematical lessons that explore foundational measurement concepts as well as the justifications of key measurement formulas. Topics studied include area concepts, area and perimeter relationships, area formulas, surface area, and volume. In the Mathematical Education of Teachers II (Conference Board of Mathematical Sciences, 2012) document, these topics are mentioned as ones that future teachers of elementary school students should have opportunities to study in depth.
NOTE: See the Geometry unit for an alternate, updated version of the Prisms lesson that can be used instead of the version posted here.
The Geometry unit consists of 11 mathematical lessons that explore core concepts in two-dimensional Euclidean geometry as well as solid geometry. Topics studied include sorting attributes, defining angle, parallel and intersecting lines, defining polygons, classifying and constructing triangles, classifying quadrilaterals, the sum of interior angles of polygons, tessellations, visualization with nets, and prisms. A running theme throughout the unit is on classifying shapes by their attributes.
The Number Concepts unit consists of 6 mathematical lessons that explore important concepts related to the place value number system. Topics studied include characteristics of the base-ten place value system, different place values, large numbers, decimals, modeling decimal quantities, comparing and ordering decimal quantities, and representing fractions as decimals. There is an extensive focus on place value structure and modeling throughout the unit.
The Addition & Subtraction unit consists of 7 mathematical lessons focused on the addition and subtraction operations. Topics studied include addition and subtraction story problems, addition strategies and algorithms, subtraction strategies and algorithms, and addition and subtraction of decimals. There is significant attention placed on number decomposition, number line modeling, and the arithmetic properties throughout the unit.
The Multiplication & Division unit consists of 8 mathematical lessons focused on the multiplication and division operations. Topics studied include multiplication and division situations, multiplication strategies and algorithms, multiplication games, measurement and partitive division, division strategies and algorithms, and multiplication and division of decimals. Across lessons, there is an emphasis on array models and on the distributive property.
Our written and multimedia materials are currently available for general dissemination. If you are interested in using our written and/or multimedia materials in a mathematics content or mathematics methods course, please contact Suzanne Chapin at [email protected] or [email protected].
Video clips to support faculty members in using more student-centered instruction are used by this project. There are 192 video clips across the EMP lessons (1 to 5 videos per lesson). Furthermore, another 108 video clips are in the searchable EMP Video Library. The video library is organized around five categories: Discourse , Mathematical Reasoning , Norms, Pedagogical Challenges, and Extended Clips . The videos provide images of experienced instructors teaching future elementary teachers in mathematics content courses. Each video includes preservice teachers grappling with complex ideas from an EMP lesson and instructors facilitating participants’ engagement with the content. Commentary from the curriculum designers accompanies each clip to provide context, highlight particular actions and questions made by the instructors or students, or explain the instructor’s decision-making.
The EMP project team also created supports for synchronous online teaching of the EMP lessons. Information for using EMP online outlines strategies, tools, and resources for establishing community and norms, setting up routines for small group work, structures for increasing engagement, and ideas for using online tools such as Google Slides and Jamboards. Additionally, for all 57 lessons, online lesson guides suggest which problems are best to have students work on prior to a class meeting, during small group time, and during whole group time. These lesson-specific guides contain Google Slide presentations that can be edited collaboratively by faculty and students. There are also tips for engaging students, collecting feedback, and using the chat and video features during online class time.
Boston university combinatoric structure questions.
Boston University Combinatoric Structure Questions Just this single question on combinatoric structure course. Please help me to do so thank...
Boston University Why People Buy Starbucks Coffee Paper Use the professional email example from the Business Communication Power Point as a guide to submit this...
Boston University MedImmune Key Issues & Recommendations Case Study Discussion For a successful case write up, you will need the following: Case papers should address the key issues that...
Boston University Prevail Physical Theraphy Worksheet It is customary in the tech industry to document the setup tasks whenever implementing new technologies. Alice has sent you an email requesting...
Boston University The Concept of Elasticity Paper Just recently, your classmate asked you “You do remember professor talked about the concept of elasticity” today, right? I do...
Boston University Why People Buy Starbucks Coffee Report For this report: a) Review Chapters 4, 5 and 6 materials and the link below: b) Write a report (clearly typed in a MS-Word file using...
Stuck with your Assignment?
IMAGES
VIDEO
COMMENTS
A conversation with a Wheelock researcher, a BU student, and a fourth-grade teacher. "Quality homework is engaging and relevant to kids' lives," says Wheelock's Janine Bempechat. "It gives them autonomy and engages them in the community and with their families. In some subjects, like math, worksheets can be very helpful.
MyBU Student. Self-service portal for Boston University staff and students. Student Login Faculty/Staff Login.
Allston Christmas and reports of Storrowing are just two signs that Boston's college student population has returned for the fall semester. For Boston University students, classes begin September 3, so it's time to hit the books (or bookstore). Although textbooks are required for nearly every college course, they are quite the investment: the average textbook costs $105.37, according to ...
Finished Courses. CS111 - Introduction to Computer Science 1. CS112 - Introduction to Computer Science 2. CS131 - Combinatoric Structures. CS132 - Geometric Algorithms. CS210 - Computer Systems. CS235 - Algebraic Algorithms. CS320 - Concepts of Programming Languages.
Homework 3 2021 final - Professor Duan; ME304-Problem Set-2 F21; Homework 1 Fall 2021 - Professor Duan; EK424 HW3+solutions - Fall 2018; ... Boston University. Discover more. 3. ME302 Homework 7 - Prof. Alyssa Pierson. Engineering Mechanics II 100% (5) 7. ME419 SP2021 Problem Set 7 with solutions.
Boston University is a private institution of higher education in Boston, Massachusetts. Founded in 1839 as a Methodist seminary, the institution expanded through the years to offer an array of disciplines awarding bachelor's, master's, doctoral, and professional degrees. ... Improved homework resources designed to support a variety of ...
Thursday, August 29, 2024 - The City of Boston today announced an update on the City's preparations as college and university students move in across Boston to ensure they have a smooth transition into their new homes and communities. A cross-departmental effort, Boston is sharing information on how to access City services including 311, mattress pick up, inspections, BlueBikes, as well as ...
homework-4-NancyYixuanXiao created by GitHub Classroom - CS506-Boston-University/homework-4-NancyYixuanXiao
Over 40 faculty members and over 250 students make up our department. Get to know our remarkable faculty, staff, and students.
The Boston University Graduate Workers Union overwhelmingly voted to authorize a strike starting March 25. The union, which has around 3,500 members, formed in 2022 and is now looking to sign its ...
computer-science machine-learning homework boston-university Updated Aug 12, 2017; MATLAB; karan301 / cs542-final Star 2. Code Issues Pull requests Final Project for Boston University CS 542 (Summer 2 2017) ... Thanks to EarLab @ Boston University for HRTF .wav files used for virtual stereo stimulus.
Homework 5; Pre Lab Instructions; CH203F17sampx 2 - Practice problems; Preview text ... Boston University. 182 Documents. Go to course. 20. Alkanes Cycloalkanes KEY. Organic Chemistry 1 100% (10) 37. NMR KEY - NMR KEY. Organic Chemistry 1 100% (7) 2. CH203F17 Homework 02 ans. Organic Chemistry 1 100% (6) 13.
Notice of Non-Discrimination: Boston University prohibits discrimination and harassment on the basis of race, color, natural or protective hairstyle, religion, sex or gender, age, national origin, ethnicity, shared ancestry and ethnic characteristics, physical or mental disability, sexual orientation, gender identity and/or expression, genetic information, pregnancy or pregnancy-related ...
The Boston Teachers Union (BTU) program will be available at BPL branches beginning on September 23, 2024. The last day of tutoring for the school year is May 22, 2025. See the 2023 BTU tutor flyer including libraries, addresses, and night (s) open.
Homework 2 ec 201 homework name(s): answer all the questions below. you may work in groups of up to five please ensure that everyone in the group is credited. Skip to document. ... Syllabus for Fall 2014 for EC 201 at Boston University . EC 100% (1) 10. Samplemidtermpart 1 - This was the answers to the 1st practice midterm for Regina Cati's EC ...
Unofficial news and discussion of interest to students, faculty, employees, and neighbors of Northeastern University in Boston, MA. Members Online Matthews Arena will be demolished following the 2024-25 athletic season
UMass Boston OCW is a free and open educational resource for faculty, students, and self-learners world wide. Whether you are a high school student preparing for college, a faculty member looking for ideas for a new course, or a community member researching a topic, you are likely to find something of interest in the UMass Boston OCW collection.
MA 226 Section B Spring 2014; Unit 2 - Homework. Unit 2 Homework Assignments. Homework Cover Sheets. Sec 2.1 & 2.2
The Elementary Mathematics Project (EMP) is an NSF-funded project out of Boston University whose overarching goal is to develop and disseminate learning materials that strengthen pre-service elementary teachers' understanding of mathematics. ... Homework questions typically require pre-service teachers to execute relevant procedures, justify ...
Boston University Why People Buy Starbucks Coffee Report For this report: a) Review Chapters 4, 5 and 6 materials and the link below: b) Write a report (clearly typed in a MS-Word file using... Boston University The Concept of Elasticity Paper