The K-12 mathematics program within Southern Lehigh School District will provide opportunities for all students to develop the ability to independently apply mathematical knowledge and skills to real-world situations. A robust and coherent curriculum will prepare students to think and reason mathematically while requiring them to demonstrate a deep understanding of mathematics. Students will develop critical thinking, problem solving, innovation, collaboration, and communication skills. A focus will be placed on using mathematics as a key to understanding the world, in order to meet the challenges of a dynamic society.
K-12 Mathematics Philosophy
Mission Statement for K-12 Mathematics:
Empowering students to problem solve, innovate, and communicate mathematically to understand the world around them and seize tomorrow’s opportunities.
Guiding Principles for K-12 Mathematics:
Students will be able to...
- be flexible mathematical thinkers by generating and connecting various mathematical representations and concepts.
- look for, recognize, and use structure and patterns.
- apply and transfer mathematical knowledge, skills, and strategies to new and real world situations.
- reason abstractly and quantitatively.
- engage in mathematical discourse and communicate thinking using appropriate mathematical language and vocabulary.
- make sense of problems and persevere in solving them.
- reflect and revise thinking to ensure reasonable solutions.
- model with mathematics.
- attend to precision.
- select and use appropriate tools strategically in order to deepen understanding of concepts.
- construct viable arguments and critique the reasoning of others.
- demonstrate both a conceptual understanding of mathematics and procedural fluency
Best Practices for K-12 Mathematics:
- promote the joy, wonder, and beauty of mathematics.
- develop a learning environment that promotes productive struggle, risk taking, self-efficacy, and resilience.
- use and promote the use of a variety of mathematical representations (i.e. concrete, representational, abstract, verbal, and contextual).
- use goals to engage students in discussion about what they are learning and why they are learning it.
- use focused and leveled questioning to engage students in higher order thinking.
- provide opportunities for students to engage with authentic problem solving and challenging tasks.
- provide opportunities for students to acquire conceptual and procedural knowledge.
- provide opportunities for students to construct knowledge through mathematical discourse .
- provide opportunities for students to make sense of problems, analyze their thinking, and revise their work.
- provide opportunities for students to make connections with prior knowledge and build upon current understanding.
- help students develop metacognitive awareness.
- provide students with mathematical tools (including manipulatives), model their use, and encourage students to select appropriate tools strategically.
- provide opportunities for students to develop number sense.
- reinforce the use of precise mathematical language and vocabulary.
- help students embrace and learn from their mistakes.
- provide differentiated classroom instruction driven by assessment to meet the needs of all learners.