MATHEMATICS

MATHEMATICS

Grades 7-12 Initial Endorsement

Student Name Praxis I

Student Identification Praxis II _____/141 0061 OR _____/154 0063

The math curriculum at St. Michael’s College is based on a spiraling curricular approach; meaning that many of the individual requirements are met in multiple courses. Therefore, in order to attain the in depth knowledge base that is required of a secondary teacher of mathematics, the undergraduate must complete the entire math major as outlined in the course catalogue.

Demonstrates knowledge of mathematical content, concepts, & skills delineated in current

national professional standards & in Vermont’s Framework of Standards & Learning

Opportunities including:

Content Distribution Requirements Knowledge Standards	Course Titles & Numbers	# Credits	Advisor Initials
□ National Council of Teachers of Mathematics (NCTM) process skills as vehicles for acquiring & using mathematics content knowledge	All courses in MA major
□ Typical misconceptions in mathematical reasoning held by early to late adolescents	All courses in MA major
□ Specific content recommended for middle grades & high school teachers in The Mathematical Education of Teachers (2001, Conference Board of the Mathematical Sciences) including: Algebra & Number Theory – Properties of natural numbers & integers, as well as complex number systems; ways that basic ideas of number theory & algebraic structures underlie rules for operations on expressions, equations, & inequalities; use of algebra to model & reason about real-world situations; use of algebraic reasoning for problem solving & proof in number theory, geometry, discrete mathematics, & statistics	All courses in MA major
□Geometry & Trigonometry – Core concepts & principles of geometry in the plane & in space using Euclidean geometry along with Cartesian coordinate & vector methods, & applications to transformations & problem solving; trigonometry from geometric & graphical perspectives, & applications to problem solving	All courses in MA major
□ Functions & Analysis – Equations & formulas associated with each important class of functions & the way that parameters in these representations determine particular cases; logarithmic functions; how to use functions to solve problems in calculus, linear algebra, geometry, statistics, & discrete mathematics	All courses in MA major
□Data Analysis, Statistics, & Probability – Use of surveys to estimate population characteristics, & design of experiments to test conjectured relationships among variables; use of both theory & simulations to study probability distributions, & applications of both theory & simulation in models of real phenomena; conditional probability & independence, & calculation of probabilities associated with these concepts; performance of formal hypothesis tests while applying appropriate statistical testing	MA 251
□ Discrete Mathematics & Computer Science – Graphs, trees, & networks; enumerative combinatorics; iteration & recursion; conceptual underpinnings of computer science	All courses in MA major

Performance Standards:

Implements a mathematics curriculum that integrates mathematical inquiry skills and

mathematical content, & enables conceptual development & development of the habits of mind

that support mathematical inquiry. Specifically, the educator:

Performance Standards	Course Titles & Numbers	# Credits	Advisor Initials
□ Anticipates, elicits, & corrects typical errors & misconceptions in mathematical reasoning through the planning & execution of lessons	All courses in MA major ED 424, 421
□ Models the habits of mind of flexibility & perseverance that support mathematical learning	All courses in MA major ED 424, 421
□ Designs & incorporates mathematical tasks/activities that enable students to investigate, explore, & discover structures & relationships; solidify basic mathematical skills; extend & generalize mathematical concepts; create & use mathematical models; apply concrete, formal, & informal strategies to solve mathematical problems; formulate & solve problems individually & collaboratively; & justify & communicate their conclusions orally & in writing	All courses in MA major ED 424, 421
□ Conveys the real world applications of mathematical ideas, & the interconnections among mathematical ideas & between mathematics & other disciplines	All courses in MA major ED 424, 421
□Communicates mathematical ideas using appropriate mathematical language & mathematical representations, & teaches students to use both to communicate about mathematical ideas	All courses in MA major ED 424, 421
□ Uses required mathematics scoring guides & benchmarks to evaluate student work & teaches students to use both to evaluate their own work	All courses in MA major ED 424, 421
□ Provides opportunities for students to use appropriate technological tools to explore algebraic ideas & representations of information, study individual functions & classes of related functions, conduct geometric investigations, & solve problems	All courses in MA major ED 424, 421
□ Conveys to students how the development of mathematical theory & understanding is a historical process with continuous creation of new knowledge & refinement or rejection of “old” knowledge	All courses in MA major ED 424, 421
□ Conveys to students the roles & responsibilities of mathematicians with respect to social, economic, cultural, & political systems, & provides them with opportunities to actively explore the full scope of career choices available to people in mathematics	All courses in MA major ED 360, 361, 417, 424, 421
□ Demonstrates sensitivity to inequities in mathematics teaching & careers by incorporating specific instructional strategies that promote equity	All courses in MA major ED 360, 361, 424, 421
Additional Requirements: □ A major in mathematics, or the equivalent in undergraduate & /or graduate coursework in mathematics
□ A minimum of a practicum, or the equivalent, at the middle/secondary level (7-12) in science, social studies, math, or English.

Content Advisor:

The above list highlights the breadth of curriculum content that is required by the State of Vermont Educator Licensing Department. Please discuss & plan with your advisee the courses that will address each of the listed areas. After the student provides you with evidence (i.e., Knightvision transcript) that verifies that the appropriate courses have been taken, please verify this with your signature.

Advisor Signature: _______________________

Praxis Information:

PRAXIS I Test Codes

You must take all 3 sections of Praxis I. Choose a paper-based version OR a computerized version.

	Paper-Based PPST		Computerized PPST
	Test Code	Pass Score	Test Code	Pass Score
Reading	0710	177	5710	177
Writing	0720	174	5720	174
Math	0730	175	5730	175

PRAXIS II Test Codes

Choose the Multiple Choice OR Essay Version

	Multiple Choice		Essay
	Test Code	Pass Score	Test Code	Pass Score
Math	0061	141	006	154

Last updated April 27 2006