kitchen table math, the sequel: 8/10/14 - 8/17/14

Wednesday, August 13, 2014

Trick sentence

Still on the clock, so I've only time to admire some sentences in the morning paper before I go write some of my own. Here's today's:

"With an insinuating pose and a seductive, throaty voice — her simplest remark sounded like a jungle mating call, one critic said — Ms. Bacall shot to fame in 1944 with her first movie, Howard Hawks’s adaptation of the Ernest Hemingway novel “To Have and Have Not,” playing opposite Humphrey Bogart, who became her lover on the set and later her husband."

That sentence is a little essay unto itself: a sentence-combining tour de force!

The September before last, I gave a department talk on precision teaching, and when I distributed a handout showing the number of subject-verb-[object] propositions a Times reporter had stuffed into just one fully readable sentence (17, as I recall), a couple of people were appalled. 

One said the Times has....hmmm. I'm forgetting the story now. 

Something like: the Times has some kind of widely circulating internal memo that lists the day's bad sentences so as to subject them to public shaming.

He said my 17-proposition pick should have made the list.

Tuesday, August 12, 2014


Off-topic ---

I'm sitting here at the breakfast table reading the paper, and I've come across this fabulous sentence in an op-ed by Daniel Levitin:

"Every day we're assaulted with facts, pseudofacts, news feeds and jibber-jabber, coming from all directions."


I must say, that pretty much describes a normal day for me, inveterate information-consumer that I am. 

Of course, I like jibber-jabber.

Speaking of which, I have a guillotine deadline on Thursday -- so back with more education jibber-jabber after that.

Sunday, August 10, 2014

1st major study of reform math: epic fail

In the August 2014 issue of Economics of Education Review:

We investigate the impact of an ambitious provincial school reform in Canada on students’ mathematical achievements. It is the first paper to exploit a universal school reform of this magnitude to identify the causal effect of a widely supported teaching approach on students’ math scores. Our data set allows us to differentiate impacts according to the number of years of treatment and the timing of treatment. Using the changes-in-changes model, we find that the reform had negative effects on students’ scores at all points on the skills distribution and that the effects were larger the longer the exposure to the reform. [emphasis added]


In this paper, we estimate the impact of Quebec’s (the second most populated province in Canada) ambitious and universal school reform implemented in the early 2000’s on children’s mathematical ability throughout primary and secondary school. At the time of the reform, the performance of students in the province of Quebec was comparable to that of students from the top performing countries in international assessments. Nonetheless, the educational system in Quebec was still subject to severe criticism at home due to its alarmingly large high school dropout rate, especially among male students.6 To ensure the success of all students, the province decided to implement an ambitious reform introducing a new program in each and every school across the province which drastically changed the way teaching was delivered to all children in primary and secondary schools. The Quebec education program (MELS, 2001, 2003, 2007) relied on a socio-constructivist teaching approach focused on problem-based and self-directed learning. [emphasis added] This approach mainly moved teaching away from the traditional/academic approaches of memorization, repetitions and activity books, to a much more comprehensive approach focused on learning in a contextual setting in which children are expected to find answers for themselves. [emphasis added]

. . . . More specifically, the teaching approach promoted by the Quebec reform is comparable to the reform-oriented teaching approach in the United States. As of 2006, this approach was widely spread across the United States (although more traditional approaches remained dominant) and it was supported by leading organizations such as the National Council of Teachers of Mathematics, the National Research Council, and the American Association for the Advancement of Science. Yet few studies in economics have addressed the impact of various teaching approaches, let alone the approach promoted by the Quebec reform.


[The] approach was designed to enable students to ‘‘find answers to questions arising out of everyday experience, to develop a personal and social value system, and to adopt responsible and increasingly autonomous behaviors’’ (MELS, 2005).

In the classroom, students were expected to be more actively involved in their own learning and take responsibility for it. Critical to this aspect was the need to relate their learning activities to their prior knowledge and transfer their newly acquired knowledge to new situations in their daily lives. ‘‘Instead of passively listening to teachers, students will take in active, hands-on learning. They will spend more time working on projects, doing research and solving problems based on their areas of interest and their concerns. They will more often take part in workshops or team learning to develop a broad range of competencies.’’ (MELS, 1999). This centralized approach in providing the program and training with a school-based execution is in many ways comparable to the current approach taken within the comprehensive school reform (CSR) models at the national level in the United States (Borman et al., 2003). The main differences are that in Quebec, implementation was mandatory in each and every school, funding was not tied to the implementation, and training packages and support are centralized in many ways. These differences are critical: they imply that the reform had to be implemented in all schools, and that the resources and training was not tied to individual school characteristics. Whether private or public, English speaking or French speaking, all schools across the province were mandated to follow the reform according to the implementation schedule. This implies that all children in Quebec were treated according to same timeline, and that parents were not able to self-select their children into or out of the reform, except by moving out of the province which they did not.

The school reform was planned at the highest level by civil servants at the Department of Education (MELS). The MELS imposes the program to be followed in each grade by every school. The 69 School Boards (60 Francophone and 9 Anglophone) responsible for all public schools, their superintendents and the school principals, are the channels and drive belts between the MELS and school teachers and students.



We find strong evidence of negative effects of the reform on the development of students’ mathematical abilities. More specifically, using the changes-in-changes estimator, we show that the impact of the reform increases with exposure, and that it impacts negatively students at all points on the skills distribution. . . . Students from the lower end of the distribution do not seem to be in a better position to successfully complete their schooling. Mathematical abilities are strongly related to school attainment and labor market outcomes, and for lower performing students they are at best equivalent post reform, but most likely lower.

The teaching approach dictated by the reform is based on socio-constructivism. According to Pinker (1997), proponents of this method believe that children must construct mathematical knowledge for themselves with the teacher only guiding the discussion on the topics and that repetitions and practice are seen as detrimental to learning. He argues that constructivism is not appropriate for mathematics. For him, ‘‘. . . without the practice that compiles a halting sequence of steps into a mental reflex, a learner will always be building mathematical structures out of the tiniest nuts and bolts’’. Certain skills for mathematics may be very difficult to ‘‘construct’’ at a young age and can possibly be better attained by old-fashioned practice and a more mechanical approach. Pinker suggests that the poor performance of the United States in mathematics could be linked to the teaching approach, which is mainly contextual with no teaching of mathematical concepts. The evidence presented in this paper supports this argument.

The distributional impacts of a universal school reform on mathematical achievements: A natural experiment from Canada by Catherine Haeck, Pierre Lefebvre *, Philip Merrigan
Well, well, well.

Contra Elizabeth Green (again), history does not fold itself meekly into a Bill Gates-approved narrative in which "the traditional approach we take to teaching math — the one that can be mind-numbing, but also comfortingly familiardoes not work."

Using the traditional approach, Quebec schools produced students whose achievement "was comparable to that of students from the top performing countries in international assessments."

Using constructivism, they produced students whose achievement suffered at every grade level, and at every skill level to boot. Good students did worse, bad students did worse, in-between students did worse. Everyone did worse in constructivist math.

Because constructivism doesn't work. 

As to the teachers, whom Green cites as the source of Reform Math failure, the article notes that "Extensive training was provided to support the new program."