New Way of Learning
Mathematics
When
we attended school a child’s success in mathematics was measured by his or her
ability to memorize procedures and algorithms.
If a students could apply the right algorithm to the right questions
he/she would get a passing grade; as a result most adults today do not have
fond memories of their math class because math was not meaningful. Luckily for our children this pedagogical
approach has changed. The educational
reformers have realized that “students' ability to
provide correct answers is not always an indicator of a high level of
conceptual understanding.” (Standards 2000 Discussion Draft, page 33.)* Teachers
are asking their students to make meaning of what they are learning with the
belief that math is logical and should
make sense. Although algorithms do have a place in our curriculum, it is
not taught until students are developmentally ready and are first given ample
time to learn mathematics conceptually (grades K-4/5).
What does your
child’s math class look like now? Discussion, exploration, questioning is the
basic structure of math class. Simply
having the “correct answer” is not sufficient anymore. Students are asked to explain their thinking,
to prove why their solutions are correct and be able to demonstrate understanding
using a variety of methods. Teachers
are continually providing
learners with experiences that offer opportunities for new understandings on
the basis that there is always more than one way to solve
a problem. Students are also challenged
to look at math as a necessary element in their everyday life (make real world
connections). Research has shown
that students in a conceptually oriented mathematics class [such as the one
described] outperform students in a procedurally oriented mathematics class on
tests and on measures of attitude toward mathematics. (See, for example,
Boaler, 1998; Cain, 2002; Fuson et al., 2000; Masden and Lanier, 1992.)
Ø How can you support
your child at home?
Avoid teaching your child the procedural strategies (algorithms) before
they are taught in his/her classroom; instead encourage your child to use
manipulatives, bases ten concepts, empty number lines and area model (for
multiplication and division). Below are
some suggested easy-to-follow 2 minute instructional videos that can be found
on YouTube that show how these strategies are taught:
1. Maths Made Easy NZ: Adding 2
Digit Numbers
2. Maths Made Easy NZ:
Multiplying 2 Digit Numbers Using Place Value
3. Using Base 10 Blocks to Model
Long Division by
KellyHeartsMath
If you have any questions about this shift in your
child’s mathematical education please feel free to contact me at Jefferson
Elementary.
Sincerely,
Victoria M. Saldana
Math Instructional Specialist