Jul 31 2020

Book Title: Basisboek wiskunde, Tweede editie/2nd edition. Author: Jan van de Craats Language: Dutch Published by Pearson Education Benelux bv Printed. Basisboek wiskunde has 13 ratings and 1 review: Published by Pearson Prentice Hall, pages. Download Basisboek Wiskunde Science Uva free pdf, Download internetversie van basisboek wiskunde, tweede editie van jan van de.

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Addendum September 22 Dutch readers may benefit from the diagram below, and this bzsisboek of screen shots. Inwhen I got my additional Wiskundd MSc degree for teacher of mathematics, I began writing about mathematics education, and concentrated on secondary educationthough taking advantage of my experience in teaching mathematics, statistics, logistics and operations management at college level during Check out this TSOM textbook.

Since my origin and main line of research is in econometrics and political economy, I also looked at the policy making process in the mathematics industry, and in gave the advice to a parliamentary enquiry on mathematics education, since that is the only solution to tackle the mess it is in for each nation separately.

The petition for Holland is here. There is wismunde dirty math war in Holland between on one side the Freudenthal Head in the Clouds “Realistic Mathematics” Institute FHCRMI in Utrecht with their fraudulent “realistic mathematics education” RME and sect behaviour and scorged earth strategy, basically because they are incompetent and can only maintain their position by bullying the rest of the world, and on the other side professors of mathematics who however are at universities and who are not involved in or qualified for elementary or secondary education but who nevertheless look in dismay at what the students cannot do anymore when they enter higher education.

I take a third position in this. I criticise both RME and those math professors. The math professors are not qualified for earlier education, and use wrong arguments in their criticism wiskude RME. They all misinform educators, the minister of education, parliament, journalists and the public. Whence a parliamentary enquiry is an unavoidable advice.

While my analysis is on my website sinceand has been further developed with articles and books, now inseven years later, we reach the point at which we cannot avoid the following observation on scientific integrity. Namely, the point is that people first get the benefit of the doubt, but once you have told them about a mis-state, then they should not neglect this information.

An earlier observation in was about a collective failurebut specific breaches must be mentioned when they are observed.

Dutch readers may like this sympathetic though uncritical interview Jan van de Craats tends to write for higher education and since also about arithmetic at elementary school in Holland here.

In Van de Craats was chairman of the Resonans committeecreated by the minister of education to look into the problem that secondary school mathematics education doesn’t prepare for higher education any more. Thus, the areas of activity of him and me don’t overlap much, except on the dependency, which is a factor in the explanation that it is only now in that I conclude that Van de Craats is in breach of scientific integrity.

Addendumsee also here: Van de Craats’s appointment at KMA was for teaching math for tertiary education military cadetsat UvA till retirement around for “mathematics and society”, and at OU till for “mathematics and in particular mathematics education”.

The latter does not edutie whether it concerns primary, secondary or tertiary education, and whether it involves training of math teachers at such levels. Perhaps it is left to the professor’s discretion to monitor his own competence? When a mathematics professor writes about math education, then even universities might think that he or she is qualified for this and appoint him for such, but this is an elementary confusion see the illustration in the diagram by Norma Presmeg.

Without further proof by Wiskuunde and Van de Craats, this memo will hold that he is not qualified for didactics at primary and secondary level, even though we can appreciate many of his comments. Van de Craats wrote the “Basisboek wiskunde” basisgoek collaboration with dr.

Rob Bosch, qualified for secondary education who moved to KMA too. However, not all that Van de Craats stated has been in collaboration with Bosch.


Van de Craats has an A4 length list of references on his website to Wilbrink’s website. I discovered last month that Wilbrink maltreats the Van Hiele theory of levels of insight. Since Wilbrink refused to discuss and change this, I asked Van de Craats for mediation, see this entry on my weblog in English here. Their breach in the integrity of science is: These points come to the surface when we look in closer detail at the following five issues.

It is targetted at protecting employers of science against employees who manipulate, fabricate and plagiate, and it neglects other issues basisbkek because these are legally more difficult. The following takes the wider view from science other than employers.

We may compare it to Schaum’s outline series but Wwiskunde tends to take smaller steps and give more theory and explanation. Van de Craats’s argument for his book is:. When there is a gap between secondary and higher education then this generally means that secondary education is deficient, as the very objective of level 2 is to prepare for level 3.

We may presume that higher education is already under pressure for lowering their standards Writing an exercise textbook is something that you might do. That is, if you really believe 2. Schools find some solution in redirecting “weak students” baeisboek education towards less demanding diplomas, so that percentages on exam results are maintained. Problem 2 isn’t in the media any more as it used to be. At the bxsisboek of students. Overall, writing such a textbook is Kurieren am Symptom.


Tinkering at the symptoms. The book basibsoek from properly informing educators, the minister of education, parliament, journalists and the public that something is wrong with secondary education. Students of his textbook should not have to pay for the book but should get a folder where to find a lawyer to sue their schools for deficient education.

Van de Craats’s approach is part of the process of deterioration. Writing such a book is not the reaction of an educator, but the reaction of a mathematician who has been trained on abstract thought and not on empirical science. It is quite frustrating when you talk to a journalist, and explain about the sad state of mathematics education, that such a journalist may refer to Van de Craats as someone who does wonderful things such as writing this kind of wiskundf that solves a lot of problems for prospective students.

This is bad journalism of course. Still, given the state of bad journalism that we are in, Van de Craats thus sabotages the flow of information. Undoubtedly, his intentions were good, but it is not thinking straight. Apparently there is a market for this too, with reported 50, copies sold.

It is unclear whether these buys were voluntary or mandatory – it is one of the suggestions at TU Delft – and whether its use caused success or failure.

There are some student reviews that confirm that it is an exercise textbookso that you need another book on theory. An online Dutch secondhand bookmarket shows 99 hits, which doesn’t seem overly much for 50, copies sold, so readers might hang on to their copies, or there are message boards with un- successful users passing it on to future un- successful users.


The above is the main point that causes a breach in scientific integrity: In this neglect, he assumes to be qualified for mathematics education research levelsbut is only qualified for bassiboek education, level 3. At other points Van de Craats appears to keep in mind what he is qualified for, but basisobek least in the neglect of said advice he forgets about that.

Policy makers are wary of the problems in education, and edifie of the policy measures is to create the ” register of qualified teachers “, mandatory now from onwards, unless the Dutch Senate would still block it. For teachers it becomes mandatory to follow courses to keep your license to badisboek. What courses that are, will be monitored. One supposes that the teachers unions will make sure that courses are at reasonable times and paid by schools. This may become the next straight jackett of bureaucracy, adding to the cost of education and reducing its quality.


When the problems in mathematics education were caused by RME then the solution is not to create a register. But when policy makers and parliament do not get proper advice by professors like Jan van de Craats, then policy makers might feel excused for their erroneous path.

But see my letter to parliament, Today, I discover that Bosch wrote his thesis in with Harrie de Swart and Jan van de Craats on social choice theory, see here.

In the basisboeo we find a cv for Bosch. He was a secondary school math teacher in 13 years. Thus Bosch is formaly qualified for secondary education, and the responsibility of the didactics of the book falls basically on his shoulders. When I presented Van de Craats with criticism, it became Van de Craats’s responsibility to check with qualified Bosch, and whether he allowed Bosch not to contact me.

While the book is presented in the Pearson section of higher education, it editoe supposed to editje a gap in secondary education, which is what Van de Craats is not qualified for.

Students who would study the book might be older than 18 but still at the level of competence in mathematics of perhaps 16 years of age, and thus be in need of secondary education instead of higher education.

This has been covered by the qualification of co-author Rob Bosch while corrections by Van de Craats wiskknde be only partly helpful. Perhaps edittie standard of remedial teaching consists of presenting proper mathematics finally after all these years! Familiarity with computer algebra would be useful to have a fall back position.


It will always be around for help. The situation at higher education seems somewhat diffuse: Van de Craats does not fully neglect my criticism, see the email of below, in which he reads my earliest statement on some issues, and expresses agreement. Basjsboek he rejects the advice to a parliamentary enquiry with the curious argument of “unrealistic” which is no argument for a scientific adviceand for all I know he hasn’t looked at the later books Ediite and COTP.

His 50, copies could have carried the message: In I wrote: Also, it leads basisbboek far for me to buy and look in their book, so my criticism has a edjtie status. However, there is this excerpt pdfand on page 17 we find a discussion on mixed numbers. The latter is useful so that you can know where it is on the number line.

This example suggests wislunde me that the exercise book has limited didactic scope. Other comments come to mind when I see other topics, but this is an excerpt only and one should look at the whole. Van de Craats may correct me if I am wrong about his view on adopting traditional mathematical presentations and neglecting my criticism on this. Van de Craats observed that students entering his classes in KMA, and thus desiring to become officers in the Dutch military, had problems with mere arithmetic.

This caused above article inand the subsequent ” book of complaints ” in When the article by Van de Craats got national attention, he was approached by elementary school teachers Piet Terpstra and Arjen de Vries.

Basisboek wiskunde

Be sure to read this key Dutch text. They had been distressed with Hans Freudenthal’s ” realistic mathematics education ” RME sinceand had developed their own method, combining systematic methods with some useful aspects of RME. Up to then they had not been able to find a publisher because of the domination of RME in Dutch elementary schools. With support by Van de Craats, their work was “subjected to scrutiny” their words and gave a contract with the present publisher, for the new method “Reken Zeker” RZ “Reckon Surely”.

A foundation was created for good education in arithmetic which apparently isn’t done at Freudenthal Institute at the University of Utrechtand educators of that foundations are editorial advisors to the method “Reken Zeker”.