Undergraduate Admissions InformationOffice of Undergraduate Admissions Madonna University 36600 Schoolcraft Road Livonia, Michigan 48150-1176 (734) 432-5339 or (800) 852-4951, ext. 5339 Fax (734) 432-5424 Email: admissions@madonna.edu |

## Mathematics for Elementary Certification Plan of Study |

Mathematics for Elementary Certification Major: Bach Sci | Mathematics for Elementary Certification Minor |

## Mathematics for Elementary Certification Major: Bach Sci |
||

## Major Courses (31 cr. to be chosen) |
||

MTH 1210 Precalculus | 5 cr. | Focus on a study of functions, their inverses, graphs, and properties. Specifically, polynomial, rational, exponential, logarithmic, and trigonometric functions are explored. Students solve equations and real-world problems involving these functions. Graphing calculators are an integral part of the course. Prerequisites: two years of high school algebra within the last two years or MTH 1050. |

MTH 2510 Calculus with Analytic Geometry I | 5 cr. | Topics include a study of limits, continuity, derivatives of algebraic and transcendental functions, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Prerequisite: MTH 1210 or departmental approval. Computer Science majors must complete this course with a grade of C (2.0) or better within the first 20 semester hours of their major. |

MTH 2330 Learning and Teaching Number Concepts (EDU/MTH*) | 3 cr. | Designed specifically for prospective elementary school teachers. Understanding and use of the underlying principles of key mathematical concepts in a problem solving environment. Focus on number sense and numeration, whole number operations, fractions and decimals, computational algorithms, patterns, relations, functions, and informal algebra. A variety of materials, activities, and strategies appropriate to teaching elementary school mathematics are used. Prerequisite: placement test or MTH 1040. A requirement in the program for elementary teacher certification. |

MTH 2350 Probability and Statistics | 4 cr. | Topics include data collection and graphic presentation; measures of central tendency; measures of dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of experiments; probability and simulation; sampling distributions; statistical inference including confidence intervals and hypothesis testing for one-sample and two- sample problems; chi-square distribution and test of significance; ANOVA. Prerequisite: two years of high school algebra within the last three years, or placement test, or MTH 1040. |

MTH 3330 Algebraic Thinking and Proportional Reasoning | 4 cr. | Designed specifically for elementary school teachers. Focus on building algebraic thinking through examination of patterns and relationships, logic, and functions, as well as developing appropriate symbolic forms to represent and analyze mathematical situations and structures. Multiple representations of situations are used and the interrelationships of these representations are stressed. Attention given to developing proportional reasoning by investigating number theory, ratio and proportion, and decimals and percents as extensions of the whole number system. Prerequisite: MTH 2330 and MTH 1210. |

MTH 3340 Geometry for Elementary Teachers | 4 cr. | Designed specifically for elementary school teachers. Students are introduced to a variety of materials, activities, and physical models and manipulatives, and dynamic software as learning tools. Focus on analyzing characteristics and properties of two- and three-dimensional geometric objects and their measurement using different representational systems, recognizing the usefulness of transformations and symmetry in analyzing mathematical situations, and using visualization and spatial reasoning to solve problems both within and outside mathematics Prerequisite: MTH 2330. |

MTH 4330 Reasoning and Proof in the Elementary Mathematics Classroom | 2 cr. | Exposes K-8 preservice and inservice teachers to mathematical reasoning and proof. Emphasis on making and investigating mathematical conjectures, developing and evaluating mathematical arguments and proofs, selecting and using various types of reasoning and methods of proof. Age-appropriate ways to foster systematic thinking, conjecturing, and marshaling of evidence are also explored. Prerequisite: MTH 1210, MTH 3330. |

MTH 4340 Technology in the Elementary Mathematics Classroom | 2 cr. | Focus on the appropriate use of electronic technologies to help in teaching elementary school children to understand mathematics. Calculators, graphers and computers are used in a laboratory setting to investigate patterns; test conjectures; explore and analyze data, connect numerical, symbolic, and graphical representations; visualize geometric concepts; and investigate and solve real-world problems. Hands on experience using and evaluating Internet resources appropriate for use in an elementary school mathematics classroom. Prerequisite: MTH 2330 or permission of instructor. |

MTH 4960 Senior Seminar in Elementary Mathematics Education | 2 cr. | Students with a major to teach mathematics in the elementary school research and discuss issues and evolving practice related to the teaching and learning of mathematics. Introduction to the professional community of mathematics educators and curriculum and evaluation standards. Opportunity to explore the historical development of mathematics that includes the contributions of various cultures. Oral presentations and a research paper are required. Prerequisite: senior status in the Elementary certification program. |

Mathematics for Elementary Certification Minor |
||

## Minor Courses (25 cr. to be chosen) |
||

MTH 1210 Precalculus | 5 cr. | Focus on a study of functions, their inverses, graphs, and properties. Specifically, polynomial, rational, exponential, logarithmic, and trigonometric functions are explored. Students solve equations and real-world problems involving these functions. Graphing calculators are an integral part of the course. Prerequisites: two years of high school algebra within the last two years or MTH 1050. |

MTH 2510 Calculus with Analytic Geometry I | 5 cr. | Topics include a study of limits, continuity, derivatives of algebraic and transcendental functions, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Prerequisite: MTH 1210 or departmental approval. Computer Science majors must complete this course with a grade of C (2.0) or better within the first 20 semester hours of their major. |

MTH 2330 Learning and Teaching Number Concepts (EDU/MTH*) | 3 cr. | Designed specifically for prospective elementary school teachers. Understanding and use of the underlying principles of key mathematical concepts in a problem solving environment. Focus on number sense and numeration, whole number operations, fractions and decimals, computational algorithms, patterns, relations, functions, and informal algebra. A variety of materials, activities, and strategies appropriate to teaching elementary school mathematics are used. Prerequisite: placement test or MTH 1040. A requirement in the program for elementary teacher certification. |

MTH 2350 Probability and Statistics | 4 cr. | Topics include data collection and graphic presentation; measures of central tendency; measures of dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of experiments; probability and simulation; sampling distributions; statistical inference including confidence intervals and hypothesis testing for one-sample and two- sample problems; chi-square distribution and test of significance; ANOVA. Prerequisite: two years of high school algebra within the last three years, or placement test, or MTH 1040. |

MTH 3330 Algebraic Thinking and Proportional Reasoning | 4 cr. | Designed specifically for elementary school teachers. Focus on building algebraic thinking through examination of patterns and relationships, logic, and functions, as well as developing appropriate symbolic forms to represent and analyze mathematical situations and structures. Multiple representations of situations are used and the interrelationships of these representations are stressed. Attention given to developing proportional reasoning by investigating number theory, ratio and proportion, and decimals and percents as extensions of the whole number system. Prerequisite: MTH 2330 and MTH 1210. |

MTH 3340 Geometry for Elementary Teachers | 4 cr. | Designed specifically for elementary school teachers. Students are introduced to a variety of materials, activities, and physical models and manipulatives, and dynamic software as learning tools. Focus on analyzing characteristics and properties of two- and three-dimensional geometric objects and their measurement using different representational systems, recognizing the usefulness of transformations and symmetry in analyzing mathematical situations, and using visualization and spatial reasoning to solve problems both within and outside mathematics Prerequisite: MTH 2330. |