id: 05205798
dt: j
an: 2007d.00347
au: Maida, Paula
ti: Using algebra without realizing it.
so: Math. Teach. M. Sch. 9, No. 9, 484-488 (2004).
py: 2004
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: H39 D89
ut: simultaneous linear equations; teaching activities; modes of
    representations; lower seondary; preservice teacher education; primary
    school teachers; manipulative materials; lower secondary; problem
    solving; teaching methods; mathematical logic
ci: 
li: 
ab: Summary: This article describes how three algebra problems involving
    systems of equations can be modeled and solved with manipulative
    materials or pictorial representation, then the solutions are compared
    with standard solutions using algebraic symbols. As students begin to
    use manipulatives and represent their pictures with number sentences,
    they are subconsciously internalizing algebraic concepts without even
    realizing it. The hands-on manipulatives and pictorial representations
    will not only engage tactile and visual learners, but will also expand
    all students’ mathematical experiences. This exposure and growth is
    beneficial, if not vital, to their understanding and appreciation of
    algebra when it is formally introduced to them in later years.
    (Contains 2 figures.) (ERIC)
rv: