Field 314: Elementary Mathematics Specialist
Alignment of Test Framework Objectives with State and National Standards
| Illinois Licensure Testing System Framework Objectives for Elementary Mathematics Specialist | Illinois Department of Education Professional Teaching Standards (2013) |
Principles and Standards for School Mathematics https://www.nctm.org/flipbooks/standards/pssm/html5/index.html |
The NCTM CAEP Standards – Elementary Math Specialist (2012) | NCTM CAEP Mathematics Content for Elementary Mathematics Specialist Addendum to the NCTM CAEP Standards 2012 |
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| Subarea I: Number Concepts and Operations | ||||
| 0001 Apply knowledge of number sense, number systems, and the properties of the real number system. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Number and Operations Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.1.1 C.1.5 |
| 0002 Analyze number operations and computational algorithms. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Number and Operations Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.1.2 C.1.3 C.1.5 |
| Subarea II: Algebra and Functions | ||||
| 0003 Apply knowledge of patterns, algebraic and proportional reasoning, expressions, and equations. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Algebra Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.1.3 C.1.4 C.2.1 |
| 0004 Apply knowledge and concepts of linear functions to model and solve problems. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Algebra Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.2.2 C.2.3 C.2.4 |
| Subarea III: Geometry and Measurement | ||||
| 0005 Apply knowledge and concepts of Euclidean and coordinate geometry. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Geometry Measurement Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.3.1 C.3.2 C.3.3 C.3.4 C.3.5 C.3.7 C.3.8 |
| 0006 Apply knowledge and concepts of measurement. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Geometry Measurement Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.1.4 C.3.6 |
| Subarea IV: Data Analysis and Probability | ||||
| 0007 Analyze and interpret data. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.4.1 C.4.2 C.4.4 |
| 0008 Apply knowledge and concepts of probability. |
1(A-L) 2(A, B, C, G, M) 3(I, J) 5(E, L) 6(A, I, L) |
Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation |
Standard 1: Content Knowledge (1a) Standard 2: Mathematical Practices (2a-f) Standard 3: Content Pedagogy (3a) |
C.4.3 C.4.4 |
| Subarea V: Professional Knowledge and Instructional Leadership | ||||
| 0009 Demonstrate knowledge of mathematics instruction and assessment. |
3(A-E) 5(A – S) 6(A, I, L, S) 7(A – R) |
Standard 2: Mathematical Practices (2e,f) Standard 3: Content Pedagogy (3a, c-f) Standard 4: Mathematical Learning Environment (4a) |
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| 0010 Demonstrate knowledge of instructional leadership in mathematics. |
8(B – T) 9(A, D – Q) |
Standard 3: Content Pedagogy (3a-g) Standard 4: Mathematical Learning Environment (4a-e) |
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