Preview

Reflective Paper

Good Essays
Open Document
Open Document
1125 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Reflective Paper
1

Reflective Paper MTH 157 July 2, 2013 Gina Loscalzo Evan Schwartz

Reflective Paper 2

Math for Elementary Teachers II is the second part in a two part series. The mathematical concepts that were focused on throughout the second part of Math for Elementary Teachers were on measurement, geometry, probability, and data analysis. Just like part one of Math for Elementary Teachers, part two also address the relationship of the course concepts to the National Council of Teachers of Mathematics Standards for K-8 instruction.
The first two weeks of this course, the main concepts that were explored was data analysis and probability. When learning about data analysis, A Problem Solving Approach to Mathematics for Elementary School Teachers taught students that data analysis is the measures of Central Tendency, Statistics, and Variation. During data analysis students also reviewed that different ways data can be presented; bar graphs, circle graphs, line graphs, or scatter plots. Probability taught theorem and tree diagrams/geometry probabilities. Both of these mathematical concepts were cover throughout chapters 9 and 10 of A Problem Solving Approach to Mathematics for Elementary School Teachers.
The mathematical concepts covered during week three and four was Introduction to Geometry. During these two weeks, the concepts of geometry that were covered were; angles, basic notation, geometry in three dimensions, and polygons. These mathematical concepts of geometry were covered throughout chapter 11.

Reflective Paper 3

Mathematical concepts covered during week five and six was Applications of Geometry. During these two weeks, the main concepts of application of geometry that were taught were rotational symmetry, lines of symmetry, similar triangles, similar figures, lines and linear equations, tessellation patterns, translations, rotations, reflections, and



References: Billstein, R., Libeskind, S., & Lott, J. W. (2010). A Problem Solving Approach to Mathematics for Elementary School Teachers (10 ed.). Boston, MA: Addison- Wesley. The National Council of Teachers of Mathematics. (2012). Data Analysis and Probability. Retrieved from http://www.nctm.org/standards The National Council of Teachers of Mathmatics. (2012). Geometry Standard. Retrieved from http://www.nctm.org/standards The National Council of Teachers of Mathematics. (2012). Measurement Standard. Retrieved from http://www.nctm.org/standards

You May Also Find These Documents Helpful

  • Good Essays

    The student will demonstrate through the mathematical processes an emerging sense of two- and three- dimensional geometric shapes and relative positions in space (Standards, 2012).…

    • 657 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Honors Geometry Answers

    • 1550 Words
    • 7 Pages

    |Parallel lines have the same slope. |Sum of interior angles in a polygon is [pic].…

    • 1550 Words
    • 7 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Poop

    • 269 Words
    • 2 Pages

    Mathematics Objectives 1. Solve problems involving linear functions. 2. Develop algebraic expressions based on word problems, including those that require the use of parentheses, and evaluate the algebraic expression. 3. Recognize and create equivalent algebraic expressions (e.g., 2(a+3) = 2a+6). 4. Solve systems of linear equations and inequalities (i.e., equations with no quadratic or higher terms) in two or three variables both graphically and algebraically. 5. Apply algebraic techniques to solve a variety of problems (e.g., rate problems, work problems, geometrical problems). 6. Classify (as quadrilaterals, planar, solid, three-sided, etc.) familiar plane and solid objects (e.g., squares, rectangles, cubes, circles, spheres, rhombuses, trapezoids). 7. Define the concepts of length, area, perimeter, parallelism, circumference, volume, and surface area and calculate these when appropriate. 8. Identify the properties of angles in basic geometric figures. 9. Construct formal, logical arguments, proofs, and constructions. 10. Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. 11. State the Pythagorean Theorem and its converse. 12. Solve problems using the Pythagorean Theorem and its converse, and the properties of complementary, supplementary, vertical, and exterior angles. 13. Define the properties of complementary, supplementary, vertical, and exterior angles. 14. Compute the mean, median, mode, and range of a collection of data. 15. Identify potential sources and effects of bias in a given statistical analysis. 16. Calculate probabilities using complementary, mutually exclusive, dependent, and independent events. 17. Construct logical arguments and proofs based on the congruence, similarity, or lack thereof, of two figures. 18. Compute simple combinations and permutations using fundamental counting principles.…

    • 269 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Mth/157 Final Paper

    • 1933 Words
    • 8 Pages

    This course is the second in a two-part series designed for K–8 preservice teachers to address the conceptual framework for mathematics taught in elementary school. The focus of Part Two will be on measurement, geometry, probability, and data analysis. The relationship of the course concepts to the National Council of Teachers of Mathematics Standards for K–8 instruction is also addressed.…

    • 1933 Words
    • 8 Pages
    Satisfactory Essays
  • Satisfactory Essays

    This course is the first of a two-part series designed for k-8 pre-service teachers to address the conceptual framework for mathematics taught in elementary school. The focus of this course was on real numbers properties, patterns, operations and algebraic reasoning, and problem solving. The relationship of the course concepts to the National Council of Teachers of Mathematics Standards for k-8 instruction was also addressed.…

    • 661 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Marilyn Burns, the author of the article "Nine Ways to Catch Kids Up" realizes that a handful of students are at risk in each classroom. Burns came into this realization after talking with a student named Paul about multiplication. She discusses three issues that are essential to teaching mathematics. This includes helping students make the connections among mathematical ideas, to build the new information on the student's previous learning foundation, and to accompany correct answers with an explanation.…

    • 506 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Nctm Worksheet

    • 658 Words
    • 3 Pages

    |3 |Teaching |To be an efficient teacher, you must be able to understand now only what the students know, but what they need to learn. A successful teacher must be able to challenge |…

    • 658 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Throughout all three lessons the students will be provided with varying levels of activities aimed at enhancing the skills mentioned above. For example, students may be asked to identify age differences based on people age data that was recorded on a number line. Eventually, students will also strive to understand why skip counting can be considered a more efficient strategy than counting up when working on problems. It should be understood that when the problem includes numbers with a wide range between the two, that the type of confusion and mistake making that might happen with traditional the count up strategy can be surpassed with the use of skip counting.…

    • 882 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    Wk7AssgnNixL

    • 1812 Words
    • 8 Pages

    I currently teach a second grade class, but I have learned valuable information that I can use to help prepare my students mathematically for third grade. In second grade, my class completes tasks focusing on arrays and repeated addition toward the end of the school year. Creating equal groups is another concept taught more toward the end of the year. This course has provided insight on the importance making connections between mathematical operations: addition, subtraction, multiplication, and division. Another skill taught in second grade is decomposing numbers into hundreds, tens, and ones as students write numbers in expanded form or use base ten blocks to create a visual representation of a number. Students will continue to decompose numbers as they transition from addition and subtraction to multiplication and division (Beckman, 2014a, p.316). Completing assignments for grades higher than…

    • 1812 Words
    • 8 Pages
    Powerful Essays
  • Satisfactory Essays

    Assessing a Student

    • 252 Words
    • 2 Pages

    After interviewing an elementary student about current mathematics concept knowledge, the EED 364 student will develop an instructional plan to either support, develop, or extend the interviewed student's mathematics concepts. (APTS 1; INTASC 4).…

    • 252 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Venn Diagrams Math 156

    • 507 Words
    • 3 Pages

    A group discussion following the exercise can include naming and identifying objects not in the diagram. An example would be hearts and circles (Burrell, 2012).…

    • 507 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Instruction

    • 615 Words
    • 3 Pages

    IPPR #3 Lesson Plan: Geometry (Module/Week 6) – Three dimensional geometry at the primary, intermediate, or middle school level. Create or select a tool that could be used to teach or to rehearse the properties of geometry (sides, edges, faces, vertices, etc.)…

    • 615 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Math 214 Reflection Paper

    • 585 Words
    • 3 Pages

    The course, mathematics for Educators II, is the second of a two part of a course intended for elementary education students. It is a five week course and we studied the basic ideas of mathematics that could be taught in the classroom. I feel that I have learned a lot in this course in the past five weeks. The focus of part two of this class was measurement, geometry, probability and data analysis.…

    • 585 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Wrongful Conviction

    • 253 Words
    • 1 Page

    Write up is either not completed ( 0 points) or illustrates very little attempt to complete guidelines in a professional manner Article Summary (1-2 pages) Smith, John P. and Elizabeth A. Phillips. Listening to middle school students algebraic thinking. Mathematics Teaching in the Middle School 6 (November 2000) 156-61. Geraldine Moore Virginia State University Math 131-01 Date Critique/Evaluation/ Reflection of Article (1/2 1 page) Y, dXiJ(x( I_TS 1EZBmU/xYy5g/GMGeD3Vqq8K)fw9…

    • 253 Words
    • 1 Page
    Satisfactory Essays
  • Good Essays

    maths guide

    • 579 Words
    • 3 Pages

    Mathematics is highly valued in our society but for many students the thought of learning mathematics is daunting. Learning mathematics in primacy school may have been a positive experience but it may have also been filled with frustration and anxiety. If a teacher has a negative view of mathematics then their students will adopt this view. Students must be shown the relevance and purpose of mathematics in a real life and meaningful way. There is no doubt that mathematics is an indispensable tool for understanding our world. As we move through the twenty-first century no one can be clear on what mathematics will be needed, but it is clear that students will need to know how to reason mathematically and apply mathematical thinking to a wide range of situations (Reys, R. E., Lindquist, M. M., Lambdin, D. V., Smith, N. L., Rogers, A., Falle, J., Frid, S., Bennett, S. (2012). Helping Children Learn Mathematics (1st Australian ed.). Milton, Queensland: John Wiley & Sons Australia, Ltd).…

    • 579 Words
    • 3 Pages
    Good Essays

Related Topics