The counterfactual conjecture may help them to work out the various causes of an outcome, and to prepare for the future (e.g., Mandel, Hilton, & Catellani, 2005; Markman, Klein, & Suhr, 2009).
One of Moh's specialties is the Jacobian conjecture, and Zhang was eager to work on it.
Beating Mr. Baucus this time around, Republican strategists conjectured, would just be a matter of recruiting the right candidate to work the mining towns and ranch country.
Mr. Luzzi conjectured that managers might be responsible for the vandalism, because they are the ones having to work during the strike.
Thirty-nine descriptions were related to working independently to make a conjecture, and 19 descriptions were related to sharing and discussing a conjecture.
We first report on how the students were described with respect to working independently to make conjectures; then we report on how students were described with respect to sharing and discussing conjectures.
Looking across these categories of students that participants described with respect to working independently to make conjectures, we see that participants are primarily concerned with ensuring that students understand the resources of the task, such as diagonals and angle bisectors, and that students will know what operations they can deploy with those resources.
"As I understand, there aren't really groups, just a lot of different people who do this work; it's pure conjecture to think they form into discrete, particular squads that you could call this or that," Turkovsky said.
These perceptions can be attributed to the didactical contract of the high school geometry classroom and the pieces of the curriculum that teachers see as corresponding to students' work on conjecturing tasks.
I conjecture that working models of human vision can lead to models of spatial reasoning that would help to support Kant's view of mathematics by showing that human mathematical abilities are a natural extension of abilities produced by biological evolution that are not yet properly understood, and have barely been noticed by psychologists and neuroscientists.
