Classroom Response Systems at Duke
Transcription
Classroom Response Systems at Duke
Tools for Learning Classroom Response Systems at Duke Mine Çetinkaya-Rundel Karen Murphy Statistical Science Psychology and Neuroscience Sta 101 100 - 120 students i>clicker2 - multiple choice & numerical answer questions (participation) - readiness assessments (accuracy) - data collection look familiar? source: Google images engaging lectures “I like [the clicker questions] -- they keep your mind from wandering too far off during lecture.” active learning peer instruction “[...] clicker questions really do force you to work and understand what is going on.” “I like [...] the opportunity to discuss the answers with our classmates after submitting the answers.” immediate feedback “[the clicker questions] enable us to see where were at/figure out if we need to study or work harder to catch up.” anonymous participation “[I like being] able to participate without other people seeing what I answered.” source: Google images active learning Difference of two proportions HT for comparing proportions Difference of two proportions HT for comparing proportions Clicker question Clicker question Which of the following is the correct set of hypotheses for testing if the proportion of all Duke students who would be bothered a great deal by the melting of the northern ice cap differs from the proportion of all Americans who do? Which of the following is the correct set of hypotheses for testing if the proportion of all Duke students who would be bothered a great deal by the melting of the northern ice cap differs from the proportion of all Americans who do? (a) H0 : pDuke = pUS (a) H0 : pDuke = pUS (b) H0 : p̂Duke = p̂US (b) H0 : p̂Duke = p̂US (d) H0 : pDuke = pUS (d) H0 : pDuke = pUS HA : pDuke , pUS HA : pDuke , pUS HA : p̂Duke , p̂US (c) H0 : pDuke pUS = 0 HA : pDuke pUS , 0 HA : p̂Duke , p̂US (c) H0 : pDuke pUS = 0 HA : pDuke pUS , 0 HA : pDuke < pUS HA : pDuke < pUS Both (a) and (c) are correct. Statistics 101 (Mine Çetinkaya-Rundel) U5 - L1: Inf. for prop.s - theoretical March 19, 2013 22 / 29 Statistics 101 (Mine Çetinkaya-Rundel) U5 - L1: Inf. for prop.s - theoretical March 19, 2013 22 / 29 source: Google images peer instruction 1 Review Bayesian inference Design of studies Clicker question Exploratory data analysis Which of the following is true? Inference Probability Frequentist inference (CLT & simulation) numerical one mean & median two means & medians many means categorical one proportion two proportions many proportions Modeling (numerical response) 1 explanatory many explanatory 2 (a) If the sample size is large enough, conclusions can be generalized to the population. (b) If subjects are randomly assigned to treatments, conclusions can be generalized to the population. (c) Blocking in experiments serves a similar purpose as stratifying in observational studies. (d) Representative samples allow us to make causal conclusions. (e) Statistical inference requires normal distribution of the response variable. Statistics 101 (Mine Çetinkaya-Rundel) Final Review April 23, 2013 3 / 19 source: Google images elf‐Paced Polling Student Guide lling Student Guide olling Student Guide tiple choice (A‐E) questions using the i>clicker2 remote: olling Student Guide tiple choice (A‐E) questions using the i>clicker2 remote: E) questions using the i>clicker2 remote: E) questions using the i>clicker2 remote: E) questions using the i>clicker2 remote: ange button 4. ange button 4. Press the A‐E buttons to Press the A‐E buttons to he i>clicker2 select your answer for 4. Press the A‐E buttons to he i>clicker2 select your answer for 4. Press the A‐E buttons to 4. select your answer for Press the A‐E buttons to question 1. question 1. select your answer for select your answer for question 1. question 1. question 1. self paced polling 5. 5. 5. 1 ppears with ppears with und it und it he question he question 6. 6. 6. 2 5. Your answer choice and a 5. Your answer choice and a checkmark will appear Your answer choice and a checkmark will appear Your answer choice and a Your answer choice and a on the screen, indicating checkmark will appear on the screen, indicating checkmark will appear checkmark will appear that your answer for on the screen, indicating that your answer for on the screen, indicating on the screen, indicating question 1 was received. that your answer for question 1 was received. that your answer for that your answer for question 1 was received. question 1 was received. question 1 was received. Recommended: Press Recommended: Press SEND to confirm your Recommended: Press SEND to confirm your Recommended: Press Recommended: Press answer choice. SEND to confirm your answer choice. SEND to confirm your SEND to confirm your answer choice. answer choice. answer choice. 6. 6. Press the UP button on Press the UP button on the cross navigation to Press the UP button on the cross navigation to Press the UP button on Press the UP button on advance to the next the cross navigation to advance to the next the cross navigation to the cross navigation to question. advance to the next question. advance to the next advance to the next question. question. question. Continue answering Continue answering questions until you reach Continue answering questions until you reach Continue answering Continue answering the final question and questions until you reach the final question and questions until you reach questions until you reach can’t advance further. the final question and can’t advance further. the final question and the final question and can’t advance further. can’t advance further. Use the UP and DOWN can’t advance further. Use the UP and DOWN buttons to review your Use the UP and DOWN buttons to review your Use the UP and DOWN Use the UP and DOWN answers. Confirm that buttons to review your answers. Confirm that buttons to review your buttons to review your you see a checkmark next answers. Confirm that 5 ed polling ed polling ears. ears. Readiness Assessment Unit 2 1. Which of the following states that the proportion of occurrences with a particular outcome converges to the probability of that outcome? (a) Bayes’ theorem (b) General addition rule (c) Law of large numbers 2. Shown below are four Venn diagrams. In which of the diagrams does the shaded area represent A and B but not C? 4 Dr. Çetinkaya-Rundel (d) Law of averages ue ue esh” button resh” button at you are in at you are in olling mode. olling mode. 3 Sta 101: Data Analysis and Statistical Inference (a) (b) (c) (d) 3. Which of the following is false about probability distributions? (a) Each probability should be greater than or equal to 0. (b) The outcomes listed must be independent. (c) Each probability should be less than or equal to 1. (d) The probabilities must total 1. 4. Last semester, out of 170 students taking Sta 101, 71 students were social sciences majors (primary major), 53 students were premed, and 6 were both premed and social sciences majors. What is the probability that a randomly chosen student is premed, given that s/he is a social sciences major? (a) 6 170 (c) 6 53 (b) 71+53 6 170 (d) 6 71 5. Which of the following is false? (a) If two events (both with probability greater than 0) are mutually exclusive, they could be independent. (b) When computing the probability that a card drawn randomly from a standard deck is either a Jack or a 4, you can use the addition rule. (c) If two events (both with probability greater than 0) are mutually exclusive, they are not necessarily complements. (d) If the probabilities of two events add up to 1, they are complements. source: Google images motion and gender? data collection Gender Male Female Total Promotion Promoted Not Promoted 21 3 14 10 35 13 Case study: Gender discrimination Total 24 24 48 Testing via simulation Simulation setup 1 Statistics 101 We’ll let a face card represent not promoted and a non-face card represent a promoted. Consider aces as face cards. Set aside the jokers. Take out 3 aces ! there are exactly 13 face cards left in the deck (face cards: A, K, Q, J). Take out a number card ! there are exactly 35 number (non-face) cards left in thevia deck (number cards: 2-10). January 22, 2013 (Mine Çetinkaya-Rundel) U1 - L3: Inference simulaion 2 Shuffle the cards and deal them intro two groups of size 24, representing males and females. 3 Count and record how many files in each group are promoted (number cards). 4 Calculate the proportion of promoted files in each group and take the difference (male - female). 5 Use your clicker to submit your result. Statistics 101 (Mine Çetinkaya-Rundel) U1 - L3: Inference via simulaion January 22, 2013 13 / 17 source: Google images 5 PROs: - easily track student responses for grading (compatible with Sakai roster) - self paced polling - no internet access on gadget CONs: - “i forgot my clicker” - numeric response capabilities not great - hefty price for item that has no other use source: Google images best practices grading - participation only, not for accuracy - 5% - 10% of overall grade - automatically drop few days of absences/forgot clickers/etc. peer instruction - spend time going over the question, even if on the second try majority of the students got it right cost - Google Doc where outgoing students can leave their information if they want to resell their clickers the following semester source: Google images