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

  • 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

    | Read Ch. 14 of A Problem Solving Approach to Mathematics for Elementary School Teachers.…

    • 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

    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
  • Good Essays

    For the Learning trajectory assignment I reviewed the 2nd grade math curriculum as presented by Bridges Mathematics Curriculum. I picked three lessons from Unit 3 Module 2 (Adding and Subtracting on the Number Line) that I felt would encourage students mathematical skill development. For the course of this write-up, I will be referring to the information presented in my Learning Trajectory as I investigate further the content of these lessons.…

    • 882 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    Wk7AssgnNixL

    • 1812 Words
    • 8 Pages

    References: Beckmann, S. (2014a, p.316). Mathematics for elementary teachers with activities (4th ed.). Upper Saddle River, NJ: Pearson.edu…

    • 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
  • Good Essays

    maths guide

    • 579 Words
    • 3 Pages

    Teachers should foster a positive mathematical relationship in their classroom, show persistence, flexibility, relevance, willingness to learn and an appreciation of the value of mathematics (Reys et al., 2012). A teacher should encourage intellectual risk-taking and reward students for critical thinking and creative problem solving (Reys et al., 2012). Anxiety towards mathematics should be discouraged; students should know that mistakes and errors will help them construct their mathematical knowledge.…

    • 579 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

    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
  • Satisfactory Essays

    Math 214 Reflection Paper

    • 585 Words
    • 3 Pages

    We also covered using visualization, spatial reasoning, and geometric modeling to solve problems. Week two we also did an individual assignment to help us understand geometry. Week three we covered the application of geometry using chapters 10 and 11. We analyze geometric definitions and relationships including congruency, triangle properties and triangle inequalities. Circles and arcs are another concept studied as well as proportions between parallel lines and congruent segments. This helped me to study similarity and proportions between polygons and triangle. At the end of week three I was able to specify locations using coordinate geometry, describe spatial relationships using coordinate geometry and use symmetry to analyze mathematical situations. In week four we covered Identify the relevant attributes of objects when solving problems as well as applying appropriate techniques, tools, and formulas to determine measurements. In week five we synthesize the mathematics concepts addressed in this course. As a team we worked on a power point dealing with a three dimensional shape and we discussed the surface, faces, sides, volume as well as…

    • 585 Words
    • 3 Pages
    Satisfactory Essays

Related Topics