Want to help your child learn math – there are apps for that….
Braefoot Elementary – Jan 25, 2016
Who are you?
Tablets, smartphones, screen time?
How do you help your child learn math?
Some theories to support learning:
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):
- Object permanence
3.Concrete operational (7-11)
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.
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.
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
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’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
● 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)