Want to help your child learn math – there are apps
for that….
Braefoot
Elementary – Jan 25, 2016
Tim Pelton
tpelton@uvic.ca
Who are you?
Tablets,
smartphones, screen time?
How do you help
your child learn math?
Some theories to support learning:
Aristotle:
Big Idea #1 “the
purpose of the state is to educate people – to make them virtuous”
Big Idea #2 “Learning is a series of question and answer
propositions.” We need to ask questions,
encourage questions, share questions (TPS) etc..
Vygotsky: Social Development Theory
Children learn
first through social interaction and making meaning.
Big Idea #1 Set up
learning opportunities within reach (ZPD)
Big Idea #2. Reciprocal teaching and peer tutoring are
powerful tools to support learning.
Big Idea #3. Focus
on summarizing, clarifying, questioning, predicting.
Big Idea #4
Children raised in environments where there is more cognitive and linguistic
stimulation have a developmental advantage.
Piaget: Cognitive Dev. & Constructivism
Children naturally
try to make sense of the world
We are all seeking
equilibrium, (assimilating and accommodating).
We develop through
stages (continuous progression):
1.Sensorimotor (0-2)
- Object permanence
2.Preoperational (2-7)
- Egocentric
3.Concrete operational (7-11)
- Conservation
4.Formal operational (11+)
- Abstract
reasoning (~1/3 of adults reach this?).
Big Idea #1
Children progress through stages - no point in pushing new ideas before their
time
Big Idea #2
Learning happens through disequilibrium.
Children need time to conduct independent explorations.
Bruner: Constructivism
The learner
transforms their experiences into knowledge
Big Idea #1 A child of any age is capable of
understanding complex information (!) – But not by rote – by discovery
Big Idea #2 - We
present new ideas in a sequence:
Concrete/action –> Visual/iconic/descriptive –> Abstract/symbolic
Big idea #3 Spiral
Curriculum with Scaffolding (teachers, tutors, parents, peers) is the way to
go.
Big Idea #4
Radical constructivism is difficult to follow through on – perhaps a more
pragmatic version of constructivism intermingled with instructivism,
objectivism, cognitivism & behaviourism.
Papert: Constructionism
Big Idea #1 – We
learn best by creating something tangible.
Big Idea #2 –
Project-Based learning (PBL) with teachers as coaches and facilitators
Big Idea #3 –
discovery learning rather than teacher led learning
van Hiele
The van Hiele
model – students progress through a series levels of understanding in geometry
Affected by
experience rather than by age.
Big Idea #1 If students learn by rote and without
understanding they will not be able to apply it in new situations.
Big idea #2 We progress through Recognition, Description,
Definition, Deduction, Rigor
Big idea #3
Pushing ideas earlier may be possible – but not very efficient.
Bloom
Bloom’s taxonomy
describes the types of learning objectives.
The domain that gathers most of the attention is cognitive: Knowledge,
Comprehension, Application, Analysis, Evaluation, & Synthesis.
Big Idea #1
Questions for audience
●
How many of you have downloaded apps
to help your child learn? – What did you discover?
●
What concerns do you have about
using iPads
●
What makes a useful App
What
we look for in Apps
●
No ads, clean, not too distracting
●
Intuitive to get started - easy to
use
●
Engaging
●
Can be shared
●
Immediate feedback (but not
immediate answers)
●
Substantial educational component
○
(see Bloom’s objectives)
●
Resources for parents/teachers
●
Some support provided (to help
figure out the problems)
●
Mastery before fluency (not time
bound)
●
Tracking of progress
Some Apps we have created (most MathTappers are free) and recommend)
www.mathtappers.com
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