ECED 325 Advanced Math Methods (3 credits)
Prerequisite Admission into the BAS-T program.
Course Description
Develop understanding of the development of spatial and mathematical learning across all strands: number & operations, algebra, geometry, measurement, and data analysis & probability.
Course Content
A. Characteristics and properties of two- and three-dimensional geometric shapes.
B. Geometric modeling, visualization, spatial reasoning.
C. Transformation and symmetry of objects in space.
D. Systems of measurement.
E. Area, perimeter, surface area, and volume.
F. Design of statistical investigations.
G. Collection and display of statistical data.
H. Measures of central tendency and variability for data sets.
I. Analysis and interpretation of data.
J. Probability of simple and compound events.
K. Making and testing conjectures using probability and statistics.
L. Communication of mathematical ideas and reasoning.
M. Applications/connections of geometry and statistics with other disciplines.
N. State and national curriculum standards for math in elementary schools.
O. Appropriate technology and technological activities.
P. Mathematical instructional methodology.
Q. Dispositions of math teachers/math education.
Student Outcomes
1. Apply problem solving skills in the mathematical content areas of numbers and operations, geometry, algebra, data analysis and probability, and measurement appropriate for adaptation for children from birth through grade three.
2. Plan a problem-based mathematics lesson that includes elements of differentiation, assessment, and technology, and requires students to engage in sense making and mathematical communication while adhering to state and national standards.
3. Develop knowledge, skills, and professional behaviors across early learning settings, examine the nature of mathematics, how mathematics should be taught, and how students learn mathematics.
Degree Outcomes
Pedagogical Skills: The candidate applied learning theory and incorporates a variety of evidence-based instructional strategies that are individually, culturally, and developmentally appropriate into his/her teaching practices, within and across disciplines.
Assessment & Planning: The candidate utilizes a variety of assessment, diagnosis, and evaluation practices in collaboration with colleagues and families to guide the learning and holistic development of each and every child.
Content Knowledge: The candidate recognizes and applies the central concepts of the arts, English language arts, health and fitness, mathematics, science, and social studies, and can identify resources to support personal and children’s growth across disciplines.
Critical, Creative, and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.
Lecture Contact Hours 30
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 30
Potential Methods
1. Written lesson plans and application activities
2. Written exam
3. “Hands-on” presentations
4. Oral presentation
5. Curriculum Notebook
6. Reflection Paper
7. Role playing
8. Written paper
9. Teaching critique
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