Today we met with teachers from Manor New Technology High School in Manor, Texas. Manor New Tech, built on the New Technology Foundation model of project-based learning, is strikingly different from what is found in traditional secondary education classroom settings. MNTHS student population is made up of applicants accepted through a blind lottery. As a result, the student population at MNTHS is diverse in all aspects, including the two largest subpopulations of young men and young women of color. Additionally, the project-based learning environment sets up an atmosphere where learning is student-driven, engaging, and meets the needs of a wide variety of academic abilities. Sunday, January 31, 2010
Meeting with Manor Teachers- Thursday Jan 28
Today we met with teachers from Manor New Technology High School in Manor, Texas. Manor New Tech, built on the New Technology Foundation model of project-based learning, is strikingly different from what is found in traditional secondary education classroom settings. MNTHS student population is made up of applicants accepted through a blind lottery. As a result, the student population at MNTHS is diverse in all aspects, including the two largest subpopulations of young men and young women of color. Additionally, the project-based learning environment sets up an atmosphere where learning is student-driven, engaging, and meets the needs of a wide variety of academic abilities. Wednesday, January 27, 2010
SPG 2001- Day 3 January 27

Today, Profesor Petrosino started the class by giving student the same quiz from the very first day of class, this time as a post-test of their factual knowledge to solve the Circumference of the Earth problem. The class average for the pre-test from the first day was 95% and the class average for the post-test after working with the actual problem was a 98.1%, showing a mild increase.
Professor Petrosino then opened up a class discussion about why students did so well on test of individual facts, but not so well on actually finding the circumference of the Earth even though they knew all the facts. After all, if problem based learning was so good in terms of helping students connect their factual knowledge to actual concepts, then why is what we’re seeing when we visit actual classrooms more aligned with the factual recall quiz questions rather than the deep concepts from the problem? After some thoughts by the students, Professor Petrosino posed that, perhaps it’s the fault of all of us in the room. This class, and the UTeach cohort in general, is filled with students who have excelled in math and science, namely because we’ve done well at these sorts of factual recall based tests. All of us, including the Professor Petrosino, have been systemized to teaching and learning math and science into bite-size factual chunks.
Professor Petrsoino then started to talk about how we know that experts and novices in fact hold the same sorts of factual and often conceptual knowledge. But what differs in experts is their ability to transfer this knowledge to different situations. Students then broke up into smaller groups to discuss what they thought about this framework: Is it possible to teach basic skills through complex problems? Or, is it more important to teach basic skills first before solving problems.
After the discussion, Master Teacher Denise Ekberg introduced the logistics of the Field Teaching Component of the course, in which students would be responsible for observations and implementation of a problem-based lesson at Manor New Tech High.
Tuesday, January 26, 2010
Supplement: June 19, 240 B.C.: The Earth Is Round, and It’s This Big
By Randy Alfred
June 19, 2008 | 12:00 am | Categories: Uncategorized
240 B.C.: Greek astronomer, geographer, mathematician and librarian Eratosthenes calculates the Earth’s circumference. His data was rough, but he wasn’t far off.
Eratosthenes was an all-around guy, a Renaissance man centuries before the Renaissance. Some contemporaries called him Pentathalos, a champion of multiple skills. The breadth of his knowledge made him a natural for the post of librarian of the library of Alexandria, Egypt, the greatest repository of classical knowledge.
His detractors, however, mocked Eratosthenes as a jack-of-all-trades and master of none. They called him Beta, because he came in second in every category.
Envy? Perhaps. He invented the Sieve of Eratosthenes, an algorithm for finding prime numbers still used in modified form today. He sketched the course of the Nile from the sea to Khartoum, and he correctly predicted that the source of the great, life-giving river would be found in great upland lakes.
Eratosthenes knew that at noon on the day of the summer solstice, the sun was observed to be directly overhead at Syene (modern-day Aswan): You could see it from the bottom of a deep well, and a sundial cast no shadow. Yet, to the north at Alexandria, a sundial cast a shadow even at the solstice midday, because the sun was not directly overhead there. Therefore, the Earth must be round — already conventionally believed by the astronomers of his day.
What’s more, if one assumed the sun to be sufficiently far away to be casting parallel rays at Syene and Alexandria, it would be possible to figure out the Earth’s circumference. Eratosthenes computed the shadow in Alexandria to be 1/50 of a full 360-degree circle. He then estimated the distance between the two locations and multiplied by 50 to derive the circumference.
Of course, his measurements were slightly off. Alexandria was not due north of Syene, but 2 degrees of longitude off. Syene was not precisely on the Tropic of Cancer but 39 minutes of latitude north of it. The distance between the cities was an estimate. The Earth is not a perfect sphere, but an oblate spheroid flattened at the poles.
And we don’t know today the exact size of the measurement unit Eratosthenes was using when he came up with the final figure of 252,000 stades. (We know he knew it was just a rough estimate, because he adjusted his initial number of 250,000 upward by 2,000 — or 0.8 percent — to make it divisible by 60 or 360 for easy computation.)
So how big is 252,000 stades? Depending on which classical source you trust, it’s somewhere between 24,663 and 27,967 miles. The accepted figure for equatorial circumference today is 24,902 miles. Pretty darn good for a guy without modern measurement tools.
Eratosthenes went further and computed the tilt of the Earth’s axis to within a degree. He also deduced the length of the year as 365¼ days. He suggested that calendars should have a leap day every fourth year, an idea taken up two centuries later by Julius Caesar.
Grade-school tales aside, it was thus known long before Columbus that the Earth was round and even how big it is, approximately. But it was just not widely known among the masses in 15th-century Europe. One reason is that Eratosthenes’ very own library of Alexandria had been destroyed, and there was no complete backup of its data.
SPG 2010 Class 2- January 25, 2010

Today was the second class day of the PBI course for the Spring 2010 semester of class. Professor Petrosino opened the class by telling a heartfelt story about his childhood love of the then Baltimore, now Indianapolis, Colts – based entirely upon an aunt’s gift of a Colts football helmet when he was 4 years old. The story culminated with his excitement that the Indiapolis Colts beat the New York Jets last night to return to advance to Super Bowl XLIV, a nice win against the old rival who beat them back in 1969 during Super Bowl III. Although he does have a soft spot for the NY Jets- thus making yesterday's victory a more subdued for him than expected.
The class continued with Professor Petrosino breaking the class up into groups of three students each to solve how Eratosthenes figured out the circumference of the Earth. Eratosthenes was able to calculate this number to only an error of a few percent, knowing only that, at noon, a meter stick in Syene cast no shadow while a meter stick in Alexandria, roughly 800 km away, cast a shadow of 0.1219 meters.
In each group, two students were assigned to work together to solve the problem. The third member, however, was to observe the interactions of the other members of the group during problem solving, paying careful attention to four aspects: Discourse, Inscriptions, Engagement, and Learning.
While Professor Petrosino introduced this problem to the groups, Teddy Chao, the teaching assistant for the course, took the observers outside the classroom to discuss the particulars of the role of observer.
Then, the groups were given about 30 minutes to solve the problem, with the observer taking notes and not participating in the problem solving in any way. At the end of the 30 minutes, Teddy once again met with the observers outside of the classroom to listen to what they had observed.
Students then re-grouped to present their strategies and thinking on the doccam to the rest of the classroom. Professor Petrosino elicited students’ thinking and representations throughout the process, and then opened up space for the observers to add what they observed and interpreted was happening during the problem-solving process.
Professor Petrosino then handed out a packet of various Middle School Science TEKS that showcased how the Circumference of the Earth activity involved multiple standards in deep ways.
And, as the class came to a close, Professor Petrosino reminded students that two Discussion Board postings were due on the class website before Wednesday’s class.
The purpose of the class is to set up a couple of discussions that will continue throughout the course, including:
1) a clear example of inert knowledge
2) modeling how motivating cross-discipline problems can be used in class.
3) development of observational skills related around ill structured and extended problem solving
4) discussion of assessment practices.
5) showing how extended activities extend over a fair amount of curricula standards (TEKS).
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Eratosthenes and the The Circumference of the Earth
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Friday, January 22, 2010
SPG 2010 Class 1- January 20, 2010

Wednesday, January 13, 2010
Obama References UTeach
In announcing the expansion of his "Educate to Innovate" campaign, the president applauded several new public-private partnerships that will help meet the goal of moving American students from the middle to the top in science and math achievement over the next decade.
One of those exemplary partnerships is leading to the replication of the UTeach math and science teacher-preparation program, which began at The University of Texas at Austin in 1997, to 19 universities nationally.
Thirteen universities in nine states implemented UTeach programs during the 2008-2009 school year. A newly announced second cohort of six universities includes the University of Tennessee Knoxville, Middle Tennessee State University, the University of Colorado at Colorado Springs, University of Texas at Arlington, University of Texas at Tyler and Cleveland State University.
View a full list of UTeach replication sites.
Support and funding for these replications come from the UTeach Institute, the National Math and Science Initiative, the Texas High School Project, the Texas Education Agency, the Greater Texas Foundation, Exxon Mobil Corporation, the Bill & Melinda Gates Foundation, the Michael & Susan Dell Foundation, Texas Instruments Foundation, the Tennessee Higher Education Commission, the Tennessee Department of Education and other private philanthropy.
UTeach allows students to graduate in four years with both deep content knowledge in their major and a teaching certification. Ninety-two percent of UTeach graduates have become teachers, and 82 percent are still in the classroom after five years.
Enrollment in UTeach has nearly doubled nationally in just two years, attracting more than 2,100 math and science majors into the program.
Projections indicate that, by 2018, UTeach-like programs around the country will have produced an estimated 7,000 new math and science teachers, and those teachers will have affected more than one million students by 2017 and more than 20 million during the course of the new teachers' careers.
At The University of Texas at Austin, UTeach has graduated more than 500 students, and has more than doubled the number of math majors and increased by six times the number of science majors being certified as teachers at the university.
Tuesday, December 15, 2009
Some UTeach PBI Modifications Currently Under Consideration
The following are some possible modifications to UTeach PBI currently under consideration for the sections that I teach over the next couple of semesters. The idea is that there will be a fairly slow but consistent evolutionally modification to the course:
1) modification to the field experience to be more consistent with PBI
2) introduction of the LEGACY cycle for designing of a curriculum semester project
3) addition of more substantive (in quality and quantity) course readings
4) incorporation of engineering/STEM into the content of the course
5) introduction of a formative assessment instrument to assess knowledge of previous UTeach course objectives upon entering PBI
6) incorporation of mentorship activities with existing PBI teachers
7) review by the students of some national PBI curriculum
8) a section of the course dedicated to online teaching pedagogy
9) utilization of in class survey's to provide regular feedback
10) expansion of potential STEM faculty willing to teach PBI
11) introduction of various lesson plan formats (other than 5E's)
12) Learning progressions and educative curriculum incorporated (Cesar)
13) More detailed discussions on the differences between: problem based learning, project based learning, case based learning, challenge based instruction, anchored instruction
14) In class conducting of a project based unit (Mission to Mars)
15) Instruction of class to include more opportunities for projects.
Sunday, December 13, 2009
Initial Thoughts on UTeach PBI Field Modifications

Friday, December 11, 2009
December 11- Final Exam Section II
December 10- Meeting at Manor New Tech
Thursday, December 10, 2009
Final Exam- Section 1
On Wednesday evening from 7pm -10pm, Section 1 of PBI took their final exams. The exam was in the format of a presentation on the PBI unit that each group developed. Generally, there were teams of 4 students and they created a unit with an anchor video, a project calendar, lesson plans, resources, letters to parents, assessments, a summary paper and special modification for students. The exam was preceded by dinner and refreshments and teams were evaluated by peers, TA's, instructors of the course and even a visiting professor. The climate in the class was primarily one of celebration and relief. A great deal of coordination and collaboration was accomplished to finish this semester long project and with a full course load of intense classes, exam time can be stressful for anyone. But, presentations went well, comments were friendly and insightful and each group will receive substantial feedback on their project. Final grades are due early next week. The final exam for Section 2 will be on Friday from 2pm-5pm.
Tuesday, December 8, 2009
Dr. Allan Collins Visits UT- UTeach Lecture Series

The following article appeared in The Daily Texan and was written by Vidushi Shrimali. Dr. Collins work has made significant impacts on education, artifical intelligence, and cognitive psychology. In addition to his lecture, Dr. Collins visited Dr. Joan Hughes Instructional Technology graduate course, met with numerous faculty members, and had wonderful interactions with some of our students. Please see his full bio at the end of this article. -Dr. Petrosino
In an age where adults blame new gadgets and social networking sites as the cause for students’ misconduct and poor educational performance, Allan Collins, a professor at Northwestern University, is encouraging students and teachers to use iPhones and Web sites, including Facebook, not only as entertainment, but also in the classroom.
Anthony Petrosino, a professor in the College of Education, asked Collins to speak at UT after he saw a posting on Collins’ Facebook page about his tour for “Rethinking Education in the Age of Technology,” a book Collins co-authored with peer Richard Halverson. Collins spoke at the University on Tuesday as part of UTeach’s Lecture Series.
“[His book] spoke [about] a lot of issues and topics we are grappling with,” said Petrosino.
“Collins’ work already has a huge influence on our graduate and undergraduate program. There are very few classes we offer in which an article by Dr. Collins is not present.”
Collins spoke on the benefits of what he calls new education, a growing internal movement that turns to technology to provide individualized instruction.
“We don’t let [students] use books, calculators or the Web when taking a test. But what matters in the real world is how well you can mobilize different sources like the Web to try to solve problems,” Collins said.
Collins summarized the history of education in three eras.
“In the apprenticeship era, education was personal, resource intensive, and engaging,” Collins said. “In the schooling era, education was mass-oriented, efficient and bureaucratic. In the lifelong-learning era, education is becoming customized, highly interactive and learner-controlled.”
In new education and virtual and online high schools and colleges like the University of Phoenix, books are at least supplemented, if not replaced, with the Web, and students are given more freedom to choose what they learn.
Children as young as three or four years old use hand-held devices similar to the Kindle or iPhone, with stories, animations and voice recordings to practice reading skills, and students of all levels and ages have access to Web tutors and computer-based learning software that will allow them to work at their own pace and pursue individual interests.
Collins suggested questioning the current education systems, including the system of a high school, and replacing them with home schooling or a form of more individualized education.
“One of the problems with school is that we teach these things that in no context are relevant to real life,” Collins said. “Most students learn calculus and have no clue why they are going to use that in real life. I certainly didn’t and most teachers don’t.”
Brad Armosky, an employee at the Texas Advanced Computing Center at the University, pointed out that university professors have the opportunity to pursue alternative teaching methods that elementary education teachers cannot.
“At university, if a faculty member wants to try something new, if it works, great. If it doesn’t, faculty and students can make up for it, no harm done. K-12 teachers can’t afford to take such a risk. They can’t say, let me try something totally new, using a level of technology we can’t use. If it doesn’t work, the two, three days you invested in the present topic, the kids didn’t learn what they needed to learn. What are the repercussions of missing that piece of information?” Armosky said.
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Dr. Collins Bio:
Allan M. Collins is an American cognitive scientist and Professor Emeritus of Learning Sciences at Northwestern University's School of Education and Social Policy. Collins' research is recognized as having broad impact on the fields of cognitive psychology, artificial intelligence, and education.
Psychology
Collins is most well known in psychology for his foundational research on human semantic memory and cognition. Collins and colleagues, most notably M.R. Quillian and Elizabeth Loftus, developed the position that semantic knowledge is represented in stored category representations, linked together in a taxonomically organized processing hierarchy (see semantic networks). Support for their models came from a classic series of reaction-time experiments on human question answering.[1][2][3]
Artificial Intelligence
In artificial intelligence, Collins has been recognized for his work on intelligent tutoring systems and plausible reasoning. With collaborator Jaime Carbonell, Collins produced the first documented example of an intelligent tutor system called SCHOLAR CAI (computer-assisted instruction).[4]Knowledge in SCHOLAR was structured analogously to the then theorized organization of human semantic memory as to afford a variety of meaningful interactions with the system. Collins' extensive research program pioneered discourse analysis methods to study the strategies human tutors use to adapt their teaching to learners. In addition, Collins studied and developed a formal theory characterizing the variety of plausible inferences people use to ask questions about which their knowledge is incomplete. Importantly, Collins developed methods to embed lessons learned from such research into the SCHOLAR system, improving system usability and effectiveness. Subsequently, Collins developed WHY, an intelligent tutoring system that used the Socratic method for tutoring causal knowledge and reasoning. In conjunction with this project he developed a formal computational theory of Socratic tutoring, derived from analyses of inquiry teaching dialogues.
Education
As a cognitive scientist and foundational member of the field of the learning sciences, Collins has influenced several strands of educational research and development. Building upon his work on intelligent tutoring systems, Collins has conducted numerous projects investigating the use of technology in schools and developing educational technologies for assessing and improving student learning. Collins has gradually shifted towards the situated cognition view of knowledge being embedded in the activity, context, and culture in which it is developed and used. In response to conventional practices that often ignore the influence of culture and activity, Collins and colleagues have developed and studied cognitive apprenticeship as a effective alternative educational practice. In addition, Collins was among the first to advocate for and outline design-based research methodologies in education.
Education and Professional Appointments
- B. A.,University of Michigan, 1959 (Accounting)
- M. A., University of Michigan, 1961 (Communication Sciences)
- Ph. D., University of Michigan, 1970 (Cognitive Psychology)
- Senior Scientist, BBN Technologies, 1967 - 1982
- Principal Scientist, BBN Technologies, 1982 - 2000
- Professor, Education & Social Policy, Northwestern University, 1989 - 2005
- Co-Director, U. S. Department of Education’s Center for Technology in Education, 1991 - 1994
- Research Professor, School of Education, Boston College, 1998 - 2002
- Visiting Scholar, Harvard Graduate School of Education, 2001 - 2005
- Visiting Senior Lecturer, Harvard Graduate School of Education, 2005 - 2006
- Professor Emeritus, Education & Social Policy, Northwestern University, 2005 - present
Academic Honors and Service
- National Academy of Education, Elected Member
- Association for the Advancement of Artificial Intelligence, Inaugural Fellow, 1990
- American Educational Research Association, Inaugural Fellow, 2008
- John Simon Guggenheim Memorial Foundation fellowship, 1974
- Sloan fellowship
- Founding chair of the Cognitive Science Society, 1979 - 1980
- Board member of the Cognitive Science Society, 1980 - 1987
- Founding editor, Cognitive Science, 1976 - 1980
- Editorial board, Cognitive Science, 1980 - 2000
- Editorial board, Discourse Processes, 1977 - 1987
- Editorial board, Cognition and Instruction, 1981 - present
- Editorial board, Journal of the Learning Sciences, 1990 - present
Noted and Representative Publications
- Collins, A. M., & Quillian, M. R. (1969). Retrieval Time from Semantic Memory. Journal of Verbal Learning and Verbal Behavior, 8, 240-247. (citation classic)
- Collins, A. M., & Loftus, E. F. (1975). A Spreading Activation Theory of Semantic Processing. Psychological Review, 82, 407-428. (citation classic)
- Collins, A. M., & Michalski, R. S. (1989). The logic of plausible reasoning: A core theory. Cognitive Science, 13, 1-49.
- Collins A. M., Brown J. S., & Newman S. (1989). Cognitive Apprenticeship: Teaching the Craft of Reading, Writing, and Mathematics, in Knowing, Learning and Instruction: Essays in Honor of Robert Glaser, edited by LB Resnick, Lawrence Erlbaum, Hillsdale, NJ.
- Brown, J. S., Collins, A.M., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher, 18 (1), 32–42.
- Collins, A. M. (1992). Towards a design science of education. In E. Scanlon & T. O’Shea (Eds.), New directions in educational technology (pp. 15-22). Berlin: Springer.
- Collins, A. M., & Ferguson, W. (1993). Epistemic forms and epistemic games: Structures and strategies to guide inquiry. Educational Psychologist, 28(1), 25-42.
- Greeno, J., Collins, A. M., & Resnick, L. (1996). Cognition and learning. (pp. 15-46) In D. Berliner and R. Calfee (Eds.), Handbook of Educational Psychology. New York: Macmillan.
- Bielaczyc, K. & Collins, A. M. (1999). Learning communities in classrooms: A reconceptualization of educational practice. In Reigeluth, C. M. (Ed), Instructional-design Theories and Models: A New Paradigm of Instructional Theory : 269-292.
- Collins, A.M.; Joseph, D., & Bielaczyc, K. (2004). "Design research: Theoretical and methodological issues". Journal of the Learning Sciences13 (1): 15–42.
Picture: Sara Young
Allan Collins, professor emeritus at Northwestern University, spoke Tuesday about restructuring educational approaches to include current technologies in his “Rethinking Education in the Age of Technology” tour.
