Self-Pacing with Constraints— A Modular Approach to the Teaching of Precalculus Mathematics

1975 ◽  
Vol 68 (8) ◽  
pp. 678-682
Author(s):  
Louis J. Chatterley

A university mathematics department plans and tests a precalculus course.

1950 ◽  
Vol 43 (8) ◽  
pp. 413-415
Author(s):  
Sheldon S. Myers

Since this column was written before the first fall issue, the reader would not have had a chance to respond to our request for contributions. We hope to hear from many contributors to future columns. Last summer, a colleague of ours, Mr. Lyman Peck of the Ohio State University mathematics department, hearing of this department beforehand, submitted the following very practical and appropriate application of arithmetic series.


2015 ◽  
Vol 14 (1) ◽  
pp. 43 ◽  
Author(s):  
Aoibhinn Ni Shuilleabhain ◽  
Anthony Cronin

Improving the engagement of university students in wider issues of teaching and learning is now an important driver in higher education. Additionally, widening the participation of those who access higher education is a matter of increasing prominence. In this paper we report on a case study initiative addressing both of these issues in a university mathematics department. Staff and university students collaborated in developing a series of mathematics workshops, called Maths Sparks, for secondary school pupils from disadvantaged socioeconomic backgrounds. We report on the development of student-staff community as a result of establishing this programme and discuss the increased engagement and motivation of both university students and secondary pupils participating in the series of activity-based workshops.


2019 ◽  
Author(s):  
Victor Bloemendal ◽  
Floris P. J. T. Rutjes ◽  
Thomas J. Boltje ◽  
Daan Sondag ◽  
Hidde Elferink ◽  
...  

<p>In this manuscript we describe a modular pathway to synthesize biologically relevant (–)-<i>trans</i>-Δ<sup>8</sup>-THC derivatives, which can be used to modulate the pharmacologically important CB<sub>1</sub> and CB<sub>2</sub> receptors. This pathway involves a one-pot Friedel-Crafts alkylation/cyclization protocol, followed by Suzuki-Miyaura cross-coupling reactions and gives rise to a series of new Δ<sup>8</sup>-THC derivatives. In addition, we demonstrate using extensive NMR evidence that similar halide-substituted Friedel-Crafts alkylation/cyclization products in previous articles were wrongly assigned as the para-isomers, which also has consequence for the assignment of the subsequent cross-coupled products and interpretation of their biological activity. </p> <p>Considering the importance of the availability of THC derivatives in medicinal chemistry research and the fact that previously synthesized compounds were wrongly assigned, we feel this research is describing a straightforward pathway into new cannabinoids.</p>


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