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# Engineering Pathways

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2014 California STEM Summit

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### Engineering Pathways

2. 2. !! of!Engineering!Pathways! Issue:!How'can'we'a<ract'and' retain'a'more'diverse'student'body' in'engineering'programs?' ' Obstacles: ! Lack of Shared Culture! No sense-making! Anti-social! Long math sequence before calculus! Antidotes: ! Collaboration among faculty! Problem solving workshops! Community of support! Double up math classes!
3. 3. !! of!Engineering!Pathways! •  Goal:'Get'students'through'calculus'and'intro' level'science.' •  Usual'ExpectaFon:'Two'year'process'to'get' through'calculus.' •  Reality:'Usually'takes'much'longer,'adds'1K2' years'to'a'“4'year”'degree.'' •  SoluFon:'1'year'to'get'through'prerequisites' for'calculus'' –  with'support'via'math!workshops!and!tutoring! '
4. 4. Cañada College! Veterans! Veterans Employment Assistance! Chabot College ! Displaced auto Alameda WIB! workers, low SES students! City College of SF! diverse, low SES students! S.D. Bechtel Jr Foundation! Saddleback College! diverse, low SES students! Department of Labor H1B Visa grant! Santa Ana College! diverse, low SES students! Department of Labor H1B Visa grant!
5. 5. Hands!on!Problem!Solving!
6. 6. Students'have'to'match' the'bo<le'to'the'graph' using'math.'
7. 7. Area'K'BP'Oil'Spill'' Real'World'Problem'Solving' Ten'days'ago,'a'big'underwater'oil'well'from'DBD'Petroleum' Company'ruptured'near'the'coast'of'Paradise'Island.'They' reported'to'the'public'an'esFmate'of'8000'barrels'per'day' being'discharged'into'the'ocean.' ' Prepare'a'report'for'the'Paradise'Island'oﬃcials.''It'should' contain:' 1.  An'esFmate'the'oil'discharge'of'the'DBD'well'into'the'ocean,' in'units'of'barrels'of'oil'per'day.'' 2.  An'explanaFon'of'the'calculaFons'and'informaFon'that'leads' to'your'esFmate.' 3.  An'evaluaFon'of'the'DBD'esFmate.'Is'it'reasonably'close'to' your'esFmate?'Is'it'too'low?'Too'high?''
8. 8. Real!World!Problem!Solving Estimating areas! ! Rates of change! Finding relevant information! ! Calculating volume! Unit conversion - to m3 to barrels!
9. 9. Gaps!in!Knowledge! Unit%Conversions% A'certain'island'has'no'currency,' 'instead'it'has'the'following'exchange'rate:'' ' '5'bananas'='2'coconuts' '10'coconuts'='3'seashells'' '5'bananas'='4'mangos ' '2'mangos='1'coconut'' '5'coconuts'='2'ﬁsh ' '15'seashells'='2'snakeskins'' ' '100'ﬁsh'='1'hammock' '10'snakeskins'='1'hammock' ! How!many!bananas!does!it!take!to!! trade!for!a!hammock?!!!
10. 10. Unit!Conversions:' SoluFons'' '' How!many!bananas!does!it!take!to!! trade!for!a!hammock?!!! 10 snakeskins 15 seashells 10 cococnuts 5 bananas 1hammock × × × × = 625 bananas 1hammock 2 snakeskins 3 seashells 2 coconuts €
11. 11. SoluFon'–'Units'&'Big'Numbers' •  Fermi'CalculaFons:'' –  EsFmate'the'total'number'of'sheets'of'8.5'x' 11'inch'paper'used'by'all'the'students'at' Chabot'in'one'semester.'' –  If'the'land'area'of'the'earth'were'divided'up' equally'for'each'person'on'the'planet,'about' how'much'would'you'get?'' –  Sea'O<ers'have'about'1'million'hairs'per' square'inch'on'their'body.'How'many'hairs' does'a'Sea'O<er'have'on'its'enFre'body?''
12. 12. SoluFon'–'Units'&'Big'Numbers' UNIT'RELAY'RACE' (1)!Liquid!Volume' Given'a'1.76'liquid'Cup'measuring'container,' pour'1.25'L'of'water'to'within'±0.1'L.'' (2)!Length' Given!7.2'inches'of'string,'ﬁnd'length''.92' x102cm'±'10'cm'' (3)!Area' Given'7.2'inches'of'string,'ﬁnd'a'square'space' with'area''='334'x'10K4m2'±'1'cm2'
13. 13. Area'K'BP'Oil'Spill'' Real'World'Problem'Solving' ' ' What!is!area?!
14. 14. Area'K'BP'Oil'Spill'' Real'World'Problem'Solving' What'is'area?' •  A=Length'*'width' •  is'the'space'of'an'object,'without'the'width' of'it'(base'of'object)' •  A'quanFty'that'expresses'the'extent'of'a' 2D'surface'or'shape'in'the'place.' •  Measurement'of'the'amount'of'space' inside'or'used'in'the'object'
15. 15. Area'K'BP'Oil'Spill'' Real'World'Problem'Solving' How'is'"area"'related'to'"volume"?' A'x'height'='width' 2D'and'3D'diﬀerence' Area'*'h'='volume' area'has'surface'space,'volume,'includes' depth' •  A'*'(x'any'or'2)'='volume' •  volume'has'depth'while'area'is'space'but'they' both'tell'you'nor'much'space'something'takes' •  •  •  •
16. 16. Area'K'BP'Oil'Spill'' Real'World'Problem'Solving' Ten'days'ago,'a'big'underwater'oil'well'from'DBD'Petroleum' Company'ruptured'near'the'coast'of'Paradise'Island.'They' reported'to'the'public'an'esFmate'of'8000'barrels'per'day' being'discharged'into'the'ocean.' ' Prepare'a'report'for'the'Paradise'Island'oﬃcials.''It'should' contain:' 1.  An'esFmate'the'oil'discharge'of'the'DBD'well'into'the'ocean,' in'units'of'barrels'of'oil'per'day.'' 2.  An'explanaFon'of'the'calculaFons'and'informaFon'that'leads' to'your'esFmate.' 3.  An'evaluaFon'of'the'DBD'esFmate.'Is'it'reasonably'close'to' your'esFmate?'Is'it'too'low?'Too'high?''
17. 17. 2012K2013'Passing'Rates,'pt'1'
18. 18. 2012O2013!Passing!Rates,!pt!2!