The following publishers have indicated their intent to submit textbooks for review during the 2024 Mathematics Textbook Review Process. Note: Additional publishers may choose to submit their intent forms during Phase II. The timeline for Phase II will be posted no later than February 1, 2024.

The VDOE hosted a webinar for publishers interested in submitting textbooks as part of the 2024 Mathematics Textbook Review Process on Thursday, October 26. Review the recording of the webinar (YouTube video).


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SIAM Guidebooks on Math Modeling

Karen M. Bliss, Kathleen R. Kavanagh,

Benjamin J. Galluzzo, Rachel LevyBooks Using SageSeveral of the textbooks on the approved list make extensive use of Sage.

This textbook, Counting Rocks!, is the written component of an interactive introduction to combinatorics at the undergradaute level. Throughout the text, we link to videos where we describe the material and provide examples; see the Youtube playlist on the Colorado State University (CSU) Mathematics YouTube channel.

This is an introduction to probability theory, designed for self-study. It covers the same topics as the one-semester introductory courses which I taught at the University of Minnesota, with some extra discussion for reading on your own. The reasons which underlie the rules of probability are emphasized. Probability theory is certainly useful. But how does it feel to study it? Well, like other areas of mathematics, probability theory contains elegant concepts, and it gives you a chance to exercise your ingenuity, which is often fun. But in addition, randomness and probability are part of our experience in the real world, present everywhere and yet still somewhat mysterious. This gives the subject of probability a special interest.

Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

The Science (Hayden), Barker, and Dewey Libraries hold several mathematics and applied mathematics textbooks. The lists below show a few titles for some broad and specific subjects. You should find textbooks on similar subjects when you search for these books in the stacks.

After entering an answer, the correctness of the answer is evaluated by verification feedback. This is combined with the possibility of two retries (try again feedback). If there is only one answer to enter, the textbook shows a green field with a positive feedback message or a red field with a negative one. If there are multiple entries to make, the textbook provides error flagging feedback in that it highlights the correct answers in green and the wrong answers in red. The wrong answers disappear before the next trial, the correct answers remain.

The textbook offers a lexicon of mathematical terms and procedures, which is accessible throughout the whole process of working on a task. Mathematical terms in the wording of the task are directly linked with the lexicon. This is also categorized as a kind of elaborated feedback.

In summary, the enhanced e-textbook used in this study is generic for digital mathematics textbooks on the market. It provides verification feedback combined with try-again feedback, error flagging feedback, correct response feedback, and elaborated feedback. This appears to be a combination of feedback types that is already the maximum that is offered b German digital mathematics textbooks (Rezat, 2020).

Hint/elaborated feedback provided by the e-textbook related to task no. 2a on page 85 (www.denken-und-rechnen-interaktiv.de) Translation [SR]: [heading] Hint; 1. Look how many red and blue balls are in the box at the beginning. 2. Imagine, Lia draws a red ball first. How many times could she draw another red ball after that? Keep in mind that Lia pulls a ball and does not return it into the box. 3. Consider: What is the smallest number of draws until there are no red balls in the box but only blue ones?

The learners in our case studies were not introduced to these kinds of tasks and representations of urns by the teacher. However, before working on this task they worked on other tasks with similar urn representations. Since the aim was, to investigate how students make sense of the feedback and how it influences their learning of mathematics, this setting was chosen in order to reduce the influence of other factors, such as previous instruction by the teacher. However, it is important to note that these were experimental conditions with the common limitations in terms of ecological validity.

In this paper, I present the analysis of two cases, Kim and Ben. These cases were selected, because they showed typical obstacles when working with tasks from digital textbooks with feedback in its currently widespread form.

Following the prompt (l. 9) by the interviewer to think aloud, it becomes apparent that Kim instrumentalizes the verification feedback as an assessment of her answer and rethinks her answer each time she receives negative verification feedback from the e-textbook. Furthermore, she instrumentalizes the tip in the first task after her second incorrect answer, as a means to get further support to solve the task correctly. While the use of the tip is also triggered by the interviewer (l. 16, 18), there is no indication in the transcript that the interviewer influenced the instrumentalization of the tip in terms of attributing a function to it.

The study has some limitations to consider. It was a case study in an experimental setting. Only two students working with one task from one particular German mathematics e-textbook were studied. The automated feedback from the e-textbook was not designed according to the scientific state of the art. Limitations in the types of feedback implemented in the e-textbook are well known. However, it is an enhanced e-textbook based on a widely used paper textbook published by a well-established publishing company. Therefore, the study mirrors what students are actually exposed to when they learn mathematics with e-textbooks in German primary schools. In this sense, the study is ecologically valid. However, the experimental setting limits the ecological validity of the study; i. e., students might interact differently with the enhanced e-textbook in their natural environment without the presence of an interviewer. In the case of Kim, the interviewer even drew attention to the elaborated feedback. Otherwise, Kim might not even have noticed it. Furthermore, it could be expected that the teachers in German primary schools would introduce students to new content and concepts before they work with the textbooks individually. Rarely would students have to learn new concepts solely from the textbook. Consequently, the findings are not generalizable. However, they indicate obstacles that students actually faced in their interaction with a task from an enhanced e-textbook and related feedback. The findings also suggest that teachers have to be very careful in relying on the potential of the feedback.

4. A textbook may state on the back of the cover page something like "Permission must be obtained from the publisher prior to any reproduction ...", suggesting that the teacher may not even write textbook example 1 on the blackboard. My understanding is that this textbook statement is more of a request than a contract, since I never accepted it. Do you agree?

Reading a mathematics text is very different from reading ordinary English. Trying to read math the same way as a novel or a history text is certain to cause you trouble. Math text typically alternates passages of explanation in English with pieces of mathematics. Even its English, however, is of a special and stylized kind.

With actual mathematics (equations and such), the trick is simply to see how each line follows from the line before. If the step is especially obscure, the author may provide some written explanation. But be sure that you understand where each line comes from, before you go on to the next line. If you skip even one step, the rest of the steps will make little or no sense to you.

It is best to read mathematics with pencil and paper at hand, and to reproduce it yourself as you go along. But do not merely write down what you see in the book. Instead, try to work out each line for yourself, step by step, with the author.

Really important mathematical passages are problems that the author has worked out in detail. Successful students rely on these very heavily. One widely used series of review texts in mathematics consists entirely of solved problems.

Cambridge Mathematical Textbooks is a program of undergraduate and beginning graduate level textbooks for core courses, new courses, and interdisciplinary courses in pure and applied mathematics. These texts provide motivation with plenty of exercises of varying difficulty, interesting examples, modern applications, and unique approaches to the material.

Some background: I teach math at a university in the US, and the main class I teach is a two-semester sequence on discrete mathematics for computer science. I started using Obsidian for personal notes over a year ago, and as soon as I saw the Graph View I had the thought that Obsidian would make a great platform for a textbook. It just seemed to me that a non-linear approach to providing information on a subject is more natural and more similar to human cognition than the top-down, straight-line approach that traditional textbooks take. When I learned earlier this year that Obsidian Publish has a 40% academic discount, I decided to go for it, and make this public vault. ff782bc1db

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