Essay on "Mathematics for Elementary Educators"
Essay 3 pages (1054 words) Sources: 1 Style: APA
[EXCERPT] . . . .
globalization and the structures of testing in the "No Child Left Behind Initiative," it is becoming even more important that K-8 teachers be prepared to teach basic concepts of mathematics that adhere to their individual State standards, but also to a rigorous, diverse, and multicultural community. In the same way that a basic level of literacy is required before pursuing upper levels of schooling, certain mathematical constructs are vital in today's complex world of computerization, science, and the synergistic approach to many core courses. For too many people, mathematics stopped making sense somewhere along the way. Either slowly or dramatically, they gave up on the field as hopelessly baffling and difficult, and they grew up to be adults who -- confident that others share their experience -- nonchalantly announce, "Math was just not for me "or "I was never good at it" (Askey, 1999, 4).There are four basic concepts covered in the course that particularly address the issue of relevancy in mathematical pedagogy: Mathematical Standards and Practices, Algebraic Thinking and Problem Solving, Numeration Systems and Number Theory, and Rational Numbers and Applications.
Mathematical Standards and Processes -- The National Council of Teachers of Mathematics, an international organization of teachers who are focused on improving the math curriculum globally, presented new standards in 2000 designed to improve curricula, teaching and assessment. Within their rubric, six principles were established to address themes that were valid regardless of the school culture:
Equity -- There must be high expectations and support for excellence in math education from all
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Curriculum -- More than a collection of problems or activities, a math curriculum should be focused, well-articulated, and flow from grade to grade.
Teaching -- Appropriate and effective math teaching requires not only an understanding of math principles but of what students need to understand, and how that should be effectively communicated to them.
Learning -- Students must learn math in a synergistic, step process- each previous module must present them with tools needed to move forward and actively build a knowledge base.
Assessment -- Assessment should support the learning aspect of math and be appropriate as a tool for understanding student needs; not simply as something easy to grade.
Technology -- Adapting technology is absolutely essential in learning mathematics (NCTM, 2009).
In addition to these overall principles, five more detailed standards and expectations were identified:
Problem Solving -- Building new knowledge through problem solving in math and other disciplines that involve mathematic calculations. Be able to apply and adapt problem solving skills.
Reasoning and Proof -- Establish initial understanding a rubric of reasoning out a problem, make and investigate mathematical conjectures, develop and evaluate mathematical arguments, and use appropriate levels of reasoning for different problems.
Communication -- Be able to communicate clearly verbally and in writing mathematical principles, equations, and solutions. Analyze the mathematical thinking of peers and others and use the language of math to express computational ideas.
Connections -- Understand the relevancy and connections among mathematical principles. Understand how mathematical ideas interconnect and form the basis for higher levels of computation in math and other scientific disciplines.
Representations -- Create… READ MORE
Quoted Instructions for "Mathematics for Elementary Educators" Assignment:
Prepare a 700- to 1,050-word paper synthesizing the major concepts addressed in this course. Include the following in your paper:
o Summarize the major mathematical concepts of this course; designed for K-8 pre-service teachers (The focus will be on real number properties, patterns, operations and algebraic reasoning and problem solving in the area of k-8 grade level)
o Explain how the concepts are relevant to the characteristics of a professional mathematics teacher.
o Determine how the course concepts have affected your own ideas and philosophy of teaching at an elementary school level.
These are major concepts addressed in class:
MATHEMATICAL STANDARDS AND PROCESSES
*****¢ Analyze the six principles of elementary school mathematics as defined by the National Council of Teachers of Mathematics (NCTM)
*****¢ Analyze the five mathematical process standards as defined by NCTM.
ALGEBRAIC THINKING AND PROBLEM SOLVING
*****¢ Demonstrate knowledge of numerical patterns, relations, and functions.
*****¢ Represent mathematical situations and structures analytically using algebraic symbols.
*****¢ Use mathematical models to represent quantitative relationships.
*****¢ Analyze change in various contexts.
NUMERATION SYSTEMS AND NUMBER THEORY
*****¢ Demonstrate knowledge of meanings of operations and how they relate to one another.
*****¢ Demonstrate knowledge of integers, including ways of representing numbers, relationships among numbers, and number systems.
*****¢ Compute fluently and make reasonable estimates.
RATIONAL NUMBERS AND APPLICATIONS
*****¢ Demonstrate knowledge of fractions, decimals, percents, and real numbers
How to Reference "Mathematics for Elementary Educators" Essay in a Bibliography
“Mathematics for Elementary Educators.” A1-TermPaper.com, 2009, https://www.a1-termpaper.com/topics/essay/globalization-structures/7151. Accessed 5 Oct 2024.
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