Mathematics
Montecito Union Philosophy of Mathematics
Each day, our classrooms become a place where students develop and practice the dispositions of inquiry, questioning, curiosity, confidence, and the value of seeing mistakes as opportunities for growth. Teachers plan and implement a program through a Thinking Curriculum where students are encouraged to solve real world tasks using multiple methods and strategies, engage in peer interaction, while also critiquing the reasoning and thinking of others
The teaching of mathematics is complex. It begins with teachers that have a deep mathematical understanding of the content and strategies that they teach. Teachers place strong emphasis on developing lessons where the habits of a strong mathematicians are at the forefront of math instruction, in order to guide and enrich students’ learning experiences. Rich problems and tasks allows for students to apply their mathematical knowledge to new and interesting situations, and to learn from their trials and errors. By conducting first-hand investigations, working with physical materials, and expanding opportunities to interact with students and peers, students learn to solve real-world and complex problems. Daily Number Talks develops and strengthens mental computation with conceptual understanding and fluency.
Second Grade Math:
The goal of our second grade math program is to develop understanding and insight of the patterns of mathematics. Our program is designed to help students see relationships and interconnections in mathematics. Our priority is to enable them to deal flexibly with mathematical ideas and concepts. As we move students to the abstract symbolic level, we provide them with ample opportunities to explore concepts at the concrete level. Students work on a variety of concepts including number; patterning; sorting and classifying; geometry; graphing; place value; estimation; measuring; statistics and probability; and beginning multiplication and division. We continually encourage our students to express their understanding verbally and in writing. Our guides are the California Content Standards , the Bridges Math program , and other resources.
Grade 2 Overview:
Operations and Algebraic Thinking
The goal of our second grade math program is to develop understanding and insight of the patterns of mathematics. Our program is designed to help students see relationships and interconnections in mathematics. Our priority is to enable them to deal flexibly with mathematical ideas and concepts. As we move students to the abstract symbolic level, we provide them with ample opportunities to explore concepts at the concrete level. Students work on a variety of concepts including number; patterning; sorting and classifying; geometry; graphing; place value; estimation; measuring; statistics and probability; and beginning multiplication and division. We continually encourage our students to express their understanding verbally and in writing. Our guides are the California Content Standards , the Bridges Math program , and other resources.
Grade 2 Overview:
Operations and Algebraic Thinking
- Represent and solve problems involving addition and subtraction.
- Add and subtract within 20.
- Work with equal groups of objects to gain foundations for multiplication.
- Understand place value.
- Use place value understanding and properties of operations to add and subtract.
- Measure and estimate lengths in standard units.
- Relate addition and subtraction to length.
- Work with time and money.
- Represent and interpret data.
- Reason with shapes and their attributes.
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
Bridges in Mathematics, second edition, is a comprehensive K–5 mathematics curriculum that equips teachers to fully implement the Common Core State Standards for Mathematics in a manner that is rigorous, coherent, engaging, and accessible to all learners. The curriculum focuses on developing students’ deep understandings of mathematical concepts, proficiency with key skills, and ability to solve complex and novel problems. Bridges blends direct instruction, structured investigation, and open exploration. The program taps into the intelligence strengths of all students by presenting material that is as linguistically, visually, and kinesthetically rich as it is mathematically powerful.
Additional Math Resources used in the classroom:
- Number Talks
- 3 Acts
- Exemplars
- Fosnot
- Number Talks
- 3 Acts
- Exemplars
- Fosnot