Elevate your mathematics instruction and your students’ learning of mathematics with our book – Implementing Problem-Based Instruction in Secondary Mathematics Classrooms.
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What is Problem-Based Instruction?
Problem-based instruction (PBI) in mathematics is an instructional approach that focuses on teaching mathematical concepts and skills through the exploration and solution of real-world problems. Instead of presenting abstract mathematical concepts in isolation, problem-based instruction engages students in authentic, meaningful mathematical tasks that require critical thinking, problem-solving, and application of mathematical principles. Here are some key characteristics of PBI:
Real-World Context
Problems are often presented in real-world contexts, making the mathematical concepts more relevant and meaningful to students. This helps students see the practical applications of the mathematical concepts they are learning.
Critical Thinking Skills
Problem-based instruction emphasizes the development of critical thinking skills. Students are required to analyze information, make connections, and use logical reasoning to solve problems.
Collaborative Learning
Problem-based instruction often encourages collaborative learning, where students work together in groups to solve problems. This promotes communication, teamwork, and the sharing of diverse perspectives.
Student-centered Approach
The focus is on the students’ active involvement in the learning process. Teachers act as facilitators, guiding and supporting students as they work through problems, rather than simply presenting information.
Inquiry and Exploration
Students are encouraged to inquire, explore, and investigate the problems independently. This fosters a deeper understanding of mathematical concepts as students actively engage with the content.
Application of Multiple Skills
Problems are designed to require the application of multiple mathematical skills and concepts. This helps students see the interconnectedness of different mathematical ideas
Empower Minds, Ignite Curiosity: Problem-Based Instruction, Where Learning Meets Real-World Challenges!
Resources
Ready to use PBI Lesson Plans and Resources
Excited to delve into Problem-Based Instruction (PBI) but uncertain about where to begin? Explore our collection of ready-to-use resources designed to complement the lesson plans featured in our book, “Implementing Problem-Based Instruction in Secondary Mathematics Classrooms.” These resources are customizable to meet your specific needs. Be sure to revisit this page regularly, as we continually update it with additional resources and lessons. If you have a compelling PBI lesson to contribute, submit a proposal using the information provided at the bottom of this page. We welcome your valuable insights and contributions to enrich the PBI community!
Looking for a PBI lesson-plan template, Group Work resources, or other general PBI resources. Just click HERE.
01.
Middle School Math
Middle School Math serves as a critical bridge in a student’s mathematical journey, laying the foundation for more advanced concepts while building on elementary school knowledge. In this stage, students typically explore a diverse range of mathematical topics that deepen their understanding of core principles.
02.
Pre-Algebra
Pre-Algebra serves as a crucial transitional stage in a student’s mathematical journey, providing the foundational skills and concepts needed for success in more advanced algebraic courses. This course typically bridges the gap between arithmetic and algebra, introducing students to key mathematical ideas that lay the groundwork for abstract reasoning.
03.
Algebra 1
Algebra 1 is a foundational course in mathematics that introduces students to the principles and concepts of algebra. It serves as a gateway to more advanced mathematical studies, providing a solid foundation for understanding abstract mathematical reasoning.
04.
Algebra II
Algebra 2 builds upon the foundation established in Algebra 1 and delves deeper into advanced algebraic concepts. This course is designed to further develop students’ mathematical reasoning, problem-solving skills, and ability to work with abstract mathematical structures.
05.
Geometry
Geometry emphasizes visual and spatial reasoning, helping students develop a deeper understanding of the relationships between shapes and the principles that govern them. It also serves as a foundation for more advanced mathematical studies, such as trigonometry and calculus, and provides essential skills for problem-solving and critical thinking in various fields.
06.
Trigonometry
Trigonometry is a branch of mathematics that focuses on the study of relationships involving the angles and sides of triangles. It extends the principles of geometry to deal with the measurement of angles, the relationships between angles and the sides of triangles, and the properties of periodic functions. Trigonometry plays a crucial role in various scientific and technical fields, including physics, engineering, computer science, and architecture
07.
Statistics
Statistics is an essential tool for making informed decisions in a data-driven world. It provides a framework for analyzing patterns, making predictions, and drawing meaningful conclusions from data. Whether in scientific research, business analytics, or public policy, a solid understanding of statistics is crucial for interpreting information and drawing valid conclusions from diverse datasets.
08.
Pre-Calculus
Pre-calculus is a comprehensive course in mathematics that serves as a bridge between algebra and calculus. It is designed to prepare students for the more advanced concepts they will encounter in calculus and other higher-level mathematics courses It covers a wide range of topics, including advanced algebra, trigonometry, and analytical geometry, to equip students with the tools needed for more advanced mathematical studies. Additionally, Pre-calculus often includes applications in science, engineering, and other fields, making it a comprehensive and essential course for students pursuing further studies in mathematics and related disciplines.
06.
Calculus
Calculus plays a pivotal role in understanding change and motion, making it a foundational subject in various disciplines. It is not only essential for students majoring in mathematics but also for those pursuing degrees in physics, engineering, computer science, economics, and many other fields. The ability to apply calculus concepts provides a powerful toolset for solving complex problems and modeling dynamic systems, making it a cornerstone of advanced mathematical education.
Calculus Resources Coming Soon→