This microcredential represents a teacher’s ability to understand and respond to progressions related to algebraic properties and conjectures by planning and implementing instruction based on the Standards for Mathematical Practice and Effective Mathematics Teaching Practices. It involves selecting, using, and adapting mathematics curricula and teaching materials, including the integration of mathematical tools and technology, as well as using and analyzing formative and summative assessments to determine where students are in learning of algebraic properties and conjectures. This is the second of three microcredentials in the Elementary Mathematics Endorsement: Algebraic Reasoning Stack. These microcredentials can be earned in any order.

This microcredential represents a teacher’s ability to understand and respond to progressions related to Algebraic Notation, Equality, Inequality, and Relational Thinking by planning and implementing instruction based on the Standards for Mathematical Practice and Effective Mathematics Teaching Practices. This involves selecting, using, and adapting mathematics curricula and teaching materials, including the integration of mathematical tools and technology, as well as being able to use an analyze formative and summative assessments to determine where students are in learning of Algebraic Notation, Equality, Inequality, and Relational Thinking. This is the first of three microcredentials in the Elementary Mathematics Endorsement: Algebraic Reasoning Stack. These microcredentials can be earned in any order.

This microcredential represents a teacher’s understanding of patterns and their ability to understand and respond to progressions related to patterns by planning and implementing instruction based on the Standards for Mathematical Practice and Effective Mathematics Teaching Practices. It involves selecting, using, and adapting mathematics curricula and teaching materials, including the integration of mathematical tools and technology, as well as using formative and summative assessments to determine where students are in learning patterns. This is the third of three microcredentials in the Elementary Mathematics Endorsement: Algebraic Reasoning Stack. These microcredentials can be earned in any order.

These eight mathematics teaching practices provide a framework for strengthening the teaching and learning of mathematics. This research-informed framework of teaching and learning reflects the current learning principles as well as other knowledge of mathematics teaching that has accumulated over the last two decades. In essence, these teaching practices represent a core set of high-leverage practices and essential teaching skills necessary to promote deep learning of mathematics.

The Utah State Board of Education adopted the K-12 Utah Core Standards for Mathematics in January 2016. Core guides provide a description of the Core Standards, including concepts and skills to master, critical background knowledge and academic vocabulary. The course overview documents show the major work of the grade level and the coherence of content across grade levels.

The van Hiele theory describes how young people learn geometry. It postulates five levels of geometric thinking which are labeled visualization, analysis, abstraction, formal deduction and rigor. Each level uses its own language and symbols, and can be progressed from one to the next.