This new and expanded edition is intended to help candidates prepare for …
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.
Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.
This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
The following is a lesson on the Arthur Costa's Habits of Mind, …
The following is a lesson on the Arthur Costa's Habits of Mind, which I typically use in my one-year below transfer composition course, but this is also applicable in college prep courses.This lesson is one of a series that introduces a habit of mind (Thinking Flexibly, in this case) in order to help build students' awareness of their own habits and how to modify them through observation (examining the cartoon and description of the habit), application (applying this habit in their own lives via reflection), and creation (creating a comic) that pushes students to use humor, another habit of mind, in order to further reflect on this habit. All in all, these multiple lessons culminate into a larger assignment, The Habits of Mind Portfolio, where students analyze and reflect on how the habits they've learned throughout the semester is seen in their classroom interactions, study habits, home life, and the processes of creating their compositional works done throughout the semester.
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