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What I have learned about the students I have taught throughout my career is that the trend begins with students as young as 8 or 9 who have already been turned off to mathematics and science. They have been taught from societal experiences, home events, and by our teachers, that the subjects of mathematics and science are about solving a large numbers of problems as quickly as possible or reading large passages from a textbook.

young students' natural inclination to want to learn more about mathematics and science in order to make sense of the world.

Our instruction must change to allow our students a fundamental understanding of important mathematics and science concepts and we must do this in ways that continue to keep our students excited about these naturally interesting subjects.

Mazzocco and her colleagues previously found that the ability to estimate approximate quantities without counting generally improves during childhood and is related to math achievement

Mazzocco’s group studied 71 ninth-graders whose math abilities had been tested annually since kindergarten. Students completed two quantity estimation tasks. In one series of trials, participants saw an array of blue and yellow dots flash for a fraction of a second on a computer screen and indicated whether more blue or yellow dots had appeared. In other trials, students saw nine to 15 yellow dots flash on a screen and estimated how many dots were shown.

Mazzocco’s group studied 71 ninth-graders whose math abilities had been tested annually since kindergarten. Students completed two quantity estimation tasks. In one series of trials, participants saw an array of blue and yellow dots flash for a fraction of a second on a computer screen and indicated whether more blue or yellow dots had appeared. In other trials, students saw nine to 15 yellow dots flash on a screen and estimated how many dots were shown.

experience a weak understanding or lack a comprehension of conceptshave very poor number sense skillsexperience difficulty with pictorial representationshave poorly controlled handwritingexperience confusion with arrangements of numerals and signs on textbook/workbook pages

Using structured, concrete, and hands-on materials is important in tying these links between concepts. This strategy not only applies to elementary grades, it is also vital during concept development stages of higher-level math.

When these problems are accompanied by a need for strong conceptual grasp of mathematical and spatial relations, it is imperative that students are not focusing only on remediating computation.

Statway mixes basic math concepts with statistics, enabling students to pass a college-level statistics class in the second semester. Quantway, which started its first pilot classes this month, teaches students how to "use mathematics and numerical reasoning to make sense of the world around them." After one semester, which includes algebraic skills, it's hoped that students will be able to pass a college math class.

If they need to review basic skills or learn an algebra concept, he provides "just in time instruction" on basic skills and algebraic concepts, teaching students information they can use immediately to solve problems.

Math is an "overpowering wall" that keeps students from higher education," wrote a Statway student. "Now there is hope ... not only to pursue higher education but to learn something that would really apply to our everyday life."

And just because there’s a lot to choose from doesn’t mean all the programs possess the same ability to teach math on a long-lasting, conceptual level.

Although kids are quick to pick [technology] up, they’re not that quick at learning to relate it to a mathematical concept.

what you want is for students to realize, ‘I don’t need to memorize a thousand different rules. I’m beginning to observe commonalities.

The deeper the well, the higher the pressure, and the higher the risks associated with tapping oil from wells. During drilling, when the pressure applied to balance the hydrocarbon pressure in a well is not great enough to overcome that exerted by gas and fluids in the rock formation drilled, water, gas, oil, or other formation fluid can enter the hole. This is called a "gas kick," which in worst-case scenarios can lead to blowouts. In a paper published earlier this month in the SIAM Journal on Mathematical Analysis, author Steinar Evjepresents new analysis of a mathematical model that has applications to the study of such gas kicks in deep-water oil wells.

Simulators have become an important tool for the development of new, more efficient and safer drilling methods.

The use of mathematical models is important for the development of tools that can help simulate, and hence, increase control in deep-water well operations.