Abess Park Elementary
Math Strategies
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Math Investigations is our district-adopted primary curriculum tool for mathematics instruction Kindergarten through Fifth Grade and is proudly taught daily in each classroom in our school. It's aim is to offer students opportunities to explore meaningful problems in-depth to solve them creatively and collaboratively with their peers in order to construct personal meaning of mathematics concepts (problem solving and concept-based learning). This approach is very different from that of "more traditional" curriculum tools, which many adults experienced as children and focused on applying formulas, rules, performed procedures and algorithms (skill-based learning). Research shows that when students develop their own ways of solving problems they retain their understanding. When students work together with their peers to solve problems they evaluate approaches and justify their reasoning, leading to deeper understanding and mathematical fluency.
Click here for videos explaining Math Strategies
Solving a Word Problem A Complete Solution to a Word Problem includes: a written estimate, all the work that you do, an equation (even if you solved it using column form), a diagram, number line, chart or other representation, and the answer to the question in a complete sentence.
What if I get stuck?
If you get stuck you can: look at past lessons,
look at the charts that are posted in the classroom, try the problem using
counters or other materials, sketch a diagram or other representation,
change the numbers to make the problem simpler, write what you do know,
write down questions to ask later, or check other resources.
Frequently Asked
Questions
Why are Investigations being used to teach my
child mathematics? This curriculum
gives children different ways to express their thinking. After being given
situations for problem-solving, students develop strategies for expressing
mathematics, allowing ownership of understanding. Through working with
peers, students justify and analyze solutions. As a result, they are able to
understand important relationships between concepts.
How
are Math Investigations different from traditional math approaches?
Through
Investigations, children develop personal meaning of concepts and learn to
reason mathematically. They are not taught to rely on set procedures,
formulas and rules that may have no meaning to them. The same
concepts are covered as those in traditional textbooks, only the approach is
different. Research shows that students who construct math for themselves
are going to gain fluency and remember what they have learned. They will
also keep trying to make sense of problems.
How will Math Investigations affect my child?
Your
child will learn to be a self-directed learner with the ability to approach
unfamiliar problems and develop ways to solve them. Your child will also
develop communication skills about mathematics, learning to use, represent
and explain concepts. Instead of the teacher being the sole authority for
answers, each child will learn to rely on logic and mathematical evidence as
verification of understanding, becoming a confident learner of mathematics!
How can I help my child at home and what should my
child use to study from?
Students should review
daily activities to reflect on their understanding by discussing classroom
experiences with you. Your child may reflect on conversations from the Math
Workshop, or possibly show you some of the strategies that the class has
used to solve particular problems. Homework will also be assigned regularly
to reinforce learning in the classroom. When student sheets are
assigned as homework, parent notes and tips will be provided on the back to
help you in working with your child.
Why are there no student textbooks?
Textbooks
do not come with this curriculum. Instead of learning math through a book,
children are actively engaged in mathematics through conversations with
peers and working with manipulative materials. Student sheets are used
regularly, containing problems to solve and games to play to deepen
understanding of concepts learned in the units.
How is the class period run
during the math workshop?
The math workshop contains three parts: opening meeting,
work period, closing meeting
During the opening meeting, your child’s teacher explains the goals for
the math workshop and teaches a mini-lesson, introducing a new concept or
skill. The teacher then poses a problem or series of problems for each child
to solve based on the conversation during the mini-lesson.
During the work period, your child works individually, with a peer or
with a group, to solve the problem(s) presented in the mini-lesson,
developing ideas and strategies. The teacher facilitates learning by
circulating around the room, working/conferencing with students individually
or in small groups.
During the closing meeting, the class regroups to discuss strategies
used to solve the day’s problem(s), to share misunderstandings and correct
them, to make connections to other areas of math and the real world, and to
reflect on what was learned during the lesson. Following this, homework is
usually assigned to reinforce and extend what was learned during the day.
Are the children learning the basic skills?
Yes. With
experience, each child will learn to remember basic skills by constructing
sense of them. Although fluency is more important than memorization,
occasional drill and review exercises occur during the mathematics workshop
to create balance of learning.
Why is there so much written work?
One of
the main goals of standards-based education as well as Investigations is for
students to be able to confidently communicate about mathematics. In order
for a child to truly understand a concept, he/she must be able to use,
represent, and explain his/her thinking of the mathematics. Communicating
about math gives children ownership over their understanding.
Can I observe a mathematics lesson with my child’s
teacher?
Absolutely.
Simply write a note or make a phone call to your child’s math teacher to
schedule a time convenient for both of you. Math is taught each day during a
full one-hour workshop.
How do absences affect my child?
When your child is absent, it is extremely difficult to make up
work because mini-lessons and communication that take place during the math
workshop are missed. Many lessons also relate in Investigations, therefore,
when a child is absent he/she does not see connections being made, and as a
result, has a harder time participating in class discussions. It is
important to limit absences to a minimum so that your child may gain a
complete understanding of concepts being explored in the classroom.
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