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Parent & Student Resources

What is a "Problem-Based" Curriculum?

What Students Should Know and Be Able to Do

Our ultimate purpose is to impact student learning and achievement. First, we define the attitudes and beliefs about mathematics and mathematics learning we want to cultivate in students, and what mathematics students should know and be able to do.

 

Attitudes and Beliefs We Want to Cultivate

Many people think that mathematical knowledge and skills exclusively belong to “math people.” Yet research shows that students who believe that hard work is more important than innate talent learn more mathematics.1 We want students to believe anyone can do mathematics and that persevering at mathematics will result in understanding and success. In the words of the NRC report Adding It Up, we want students to develop a “productive disposition—[the] habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy.”2

1 Uttal, D.H. (1997). Beliefs about genetic influences on mathematics achievement: a cross-cultural comparison. Genetica, 99(2-3), 165-172. doi.org/10.1023/A:1018318822120

2 National Research Council. (2001). Adding it up: Helping children learn mathematics. J.Kilpatrick, J. Swafford, and B.Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press. doi.org/10.17226/9822

 

Taken from illustrative math curriculum- https://curriculum.illustrativemathematics.org/HS/teachers/what_is_pbc.html

What supports are in the materials to help my student succeed?

  • Each lesson includes a lesson summary that describes the key mathematical work of the lesson and provides worked examples when relevant. Students can use this resource if they are absent from class, to check their understanding of the day’s topics, and as a reference when they are working on practice problems or studying for an assessment.

  • Each lesson is followed by a practice problem set. These problems help students synthesize their knowledge and build their skills. Some practice problems in each set relate to the content of the current lesson, while others revisit concepts from previous lessons and units. Distributed practice like this has been shown to be more effective at helping students retain information over time.

  • Each lesson includes a few learning targets, which summarize the goals of the lesson. Each unit’s complete set of learning targets is available on a single page, which can be used as a self-assessment tool as students progress through the course.

  • Family support materials are included in each unit. These materials give an overview of the unit's math content and provide a problem to work on with your student.


What can my student do to be successful in this course?

Learning how to learn in a problem-based classroom can be a challenge for students at first. Over time, students gain independence as learners when they share their rough drafts of ideas, compare their existing ideas to new things they are learning, and revise their thinking. Many students and families tell us that while this was challenging at first, becoming more active learners in math helped them build skills to take responsibility for their learning in other settings. Here are some ideas for encouraging your student:

  • If you’re not sure how to get started on a problem, that’s okay! What can you try? Could you make a guess? Describe an answer that’s definitely wrong? Draw a diagram or representation?

  • If you’re feeling stuck, write down what you notice and what you wonder, or a question you have, and then share that when it’s time to work with others or discuss.

  • Your job when working on problems in this class is to come up with rough-draft ideas and share them. You don’t have to be right or confident at first, but sharing your thinking will help everyone learn. If that feels hard or scary, it’s okay to say, “This is just a rough draft . . .” or  “I’m not really sure but I think . . .”

  • Whether you’re feeling stuck or feeling confident with the material, listen to your classmates and ask them about their ideas. One way that learning happens is by comparing your ideas to other people’s ideas, just like you learn about history by reading about the same events from different perspectives.

  • At the end of class, or when you are studying, take time to write some notes for yourself. Ask yourself, “Do I understand the lesson summary? Do the learning targets describe me?” If not, write down a sentence like, “I understand up to . . . but I don’t understand why . . .” Share it with a classmate, teacher, or other resource who can help you better understand.

Illustrative Math Family Supports
Official Illustrative Math Supports
 
 
 
 
Other Teacher Created Supports:
*Please note these resources take you into youtube and are not affiliated with Valley Academy of Arts and Sciences.
 
 
Britta Dwyer Geometry Videos & Practice Problems:
 
Britta Dwyer Algebra 2 Practice Problem Videos:
Geogebra
Geogebra includes some lesson materials and applets to assist students in visualizing and manipulating the various concepts and developing a stronger understanding of the lesson. Please use this to help you to understand the learning goals of each lesson.