### TABLE 6 Frequency Distribution of Mathematical Content in Analogies

### TABLE 3 Sample Analogies Directed Towards Four Types of Mathematics Content

### Table A-3. Target percentage distribution of items, by mathematics content area, grade 4: 2003

2004

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### Table of contents 1. The central mathematical problem 2. The motivation

### Table 3. A relationship of the New Jersey Core Curriculum Content Standards and the mathematical activities of the Can Crusher Project.

"... In PAGE 3: ... These standards describe what all students should know and be able to do upon completion of a thirteen-year public education. Table3 illustrates an example of this relationship. Project based learning The URL http://www.... In PAGE 4: ...ombustion engine (e.g. cars, lawnmower, motorcycles etc.) and pumps was shown on this website. The activities in this project were then related to the New Jersey Core Curriculum Content Standards. An example of this relationship, for the Mathematical category, can be seen in Table3 . This table represents only a few of the Core Curriculum Standards for the mathematical activities Table 3.... ..."

### Table 3.2 National Council of Teachers of Mathematics (2000, p. 3) principles and content and processes standards:

2003

### Table 1. Chapters of the NBS Handbook of Mathematical Functions.

1997

"... In PAGE 4: ... 2. Existing Scope and Content The 29 chapters of the existing handbook are listed in Table1 . Except for a few chapters devoted to introduction, methodology or application, a typical chapter addresses a particular class of special functions.... ..."

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### Table 2: Equivalence between areas of mathematics cov- ered in MathML and the CDs in OM97 4.2.2 Mathematical Objects and Type Systems Both OpenMath and MathML content encodings are based on the concept of expression trees. The terminal nodes represent basic (atomic) objects, and the internal nodes represent compound objects.

"... In PAGE 4: ... Also, there is no equivalence of OM93 Poly CD in OM97. Table2 shows the comparable equiva- lence between the CDDe nitions in the new CDs with di erent areas of mathematics covered in MathML.... ..."

### Table 2. Domains and Competencies for Secondary Mathematics EXCET. Source: Preparation Manual for the EXCET (Mathematics 17), State Board for Educator Certification. [S2]

"... In PAGE 3: ... Course Content In choosing two course areas for development of the initial components of the computer- based program, the developers considered the emphasis placed upon algebra and precalculus concepts in the test framework of the EXCET and decided to develop a College Algebra course and a Precalculus (with Analytic Geometry and Trigonometry) course. Table2 below outlines the test framework for the EXCET in Secondary Mathematics. The number of competencies within each domain is directly correlated to the emphasis placed on each domain in the examination.... ..."