8.1 Teaching Aligned with State Standards 1
Standard Language | TPEs | TPE Connections to the math standards |
The credential program's coursework and supervised field experiences include the study of effective means of teaching mathematics to young children, consistent with the State Board adopted K-3 Mathematics Standards and Framework and the Preschool Learning Foundations and Curriculum Framework. Coursework and supervised field experiences prepare teachers to model mathematical thinking, inquiry, practice, and processes in their classrooms and to engage in mathematics teaching and learning in a mutually respectful manner with students. | TPE 2.4 | 2.4 …modeling and using respectful language to communicate and encourage positive |
1 These section headers are for organizational purposes only and are not part of the Commission-approved standard
8.2 Building on children's prior knowledge
Standard Language | TPEs | TPE Connections to the math standards |
Coursework and supervised field experiences prepare candidates to draw on and extend children's prior mathematical knowledge, understandings, and capabilities. The program prepares candidates to build positive relationships with children that help candidates understand children's mathematical understandings and provide appropriate learning activities and experiences that build on children's developing mathematical capabilities. The program prepares candidates to use their knowledge of individual children to meet them where they are developmentally and provide the support needed to sustain their progress. | TPE 2.2 | 2.2. Create a positive classroom climate by building rapport and a caring relationship with children and showing respect for children's perspectives, identities, and home languages |
8.3 Building Conceptual Understanding and Foundational Mathematics Skills
Standard Language | TPEs | TPE Connections to the math standards |
Through coursework and supervised field experiences programs stress the goal of building children’s conceptual understanding so that children develop a strong foundation | TPE 1.4 | 1.4 Connect learning to real-life contexts |
8.4 Building on children's Mathematical Thinking and Problem-solving
Standard Language | TPEs | TPE Connections to the math standards |
Candidates learn to provide learning activities and opportunities for children to figure out different ways to solve problems on their own or with classmates, and to explain or show how they arrived at their solution to the problem. Programs emphasize the importance of observing, listening, and reflecting on children's mathematical thinking and discourse and asking questions, posing new learning activities and opportunities and providing a variety of tools to further surface and build on children's mathematical thinking. Candidates learn to ask children questions to elicit children's thinking and problem-solving processes as they engage in math activities. | TPE 1.7 | 1.7 Promote children's thinking … through developmentally appropriate activities that provide opportunities for children to engage in … problem-solving |
8.5 Teaching all the PK-3 critical Mathematical Strands
Standard Language | TPEs | TPE Connections to the math standards |
Coursework and supervised field experiences prepare teachers to facilitate children's learning in all of the critical strands of mathematics in the areas of 1) number and operations, including counting and cardinality, 2) mathematical thinking and understanding relationships, 3) algebra and functions, 4) measurement and data analysis, and 5) geometry. For all strands and across all grade levels PK-3 (Appendix D), the program provides teachers with effective ways to both engage children in thinking about mathematics while they do mathematics, and help children develop confidence in their mathematical skills. The program assists teachers to learn to help children develop increasingly complex mathematical understandings and skills consistent with the progression of the mathematics strands identified in the K-3 Mathematics Standards and Framework and the Preschool Learning Foundations and Curriculum Framework. | TPE 3.2 | 3.2 Use subject-specific pedagogy in accordance with state frameworks within and across the core curriculum, including a focus on language, literacy, and mathematics… |
8.6 Promoting Children's and Candidates use of Multiple Modes of Communication to Support All Learners
Standard Language | TPEs | TPE Connections to the math standards |
Through coursework and supervised field experiences candidates learn that deep mathematical thinking and learning occurs and is supported through promoting multiple modes of communication about mathematics, including language, gestures, movement, use of a variety of tools, writing, art, and other modalities, thereby allowing all children, including English learners and children with disabilities, opportunities to express their mathematical development in meaningful and comprehensible ways. | TPE 1.7 | 1.7 opportunities for children to engage in effective expression… |