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After the 13th census in 1910 Congress set the size of the House at 435 (effective with the 63rd Congress which commenced in 1913).

Ten years later, after the 14th census in 1920, the members of the House were unable to reach agreement on a reapportionment bill and, for the first time in history, Congress failed to fulfill its constitutional obligation to reapportion the House. Thus the apportionment of the House remained unchanged from 1913 to 1922.
 

 
“The size of national assemblies”, Social Science Research 1:4, 385-401, Rein Taagepera, 1972.

“Rationale for Limiting the Number of Members of the House of Representatives to 435”, CRS Report for Congress (American Law Division), March 9, 1977
 Please right-button click on link to download report (5 Megabyte PDF)

“Why 435?: A Question of Political Arithmetic”, John A. Kromkowski, Polity, Vol. XXIV, No. 1, pp. 129-45, Fall 1991. Please right-button click on link to download article (2 Megabyte PDF)

“A House of Our Own or A House We’ve Outgrown? An Argument for Increasing the Size of the House of Representatives”, Columbia Journal of Law and Social Problems, Christopher St. John Yates, 1992; Introduction (excerpt)

“Beyond Administrative Apportionment: Rediscovering the Calculus of Representative Government”, John A. Kromkowski, Polity, Vol. XXIV, No. 3, pp. 495-97, Spring 1992.
 Please right-button click on link to download article.

“The Big House”, Sean Wilentz and Micheal Merrill, The New Republic, 16-November-1992
 Please right-button click on link to download article.

“House of Representatives: Setting the Size at 435”, David C. Huckabee, CRS Report for Congress (95-791 GOV), 11-July-1995; Please right-button click on link to download report (3 Megabyte PDF)

“How Can the U.S. House Be Made More Representative?”, J.F. Zimmerman and W. Rule, PS: Political Science and Politics Volume 31, Number 1, pages: 5-31, March 1998. Excerpts.

“Constituency Size and Government Spending”, Mark Thornton and Marc Ulrich, Public Finance Review, November 1999; Link to article

“Increasing The Size Of The House Of Representatives”, Bruce Bartlett, National Center for Policy Analysis, 16-February-2000; Link to article

“Growth in U.S. Population Calls for Larger House of Representatives”, Margo Anderson, Population Today, April 2000; Link to article

“Increasing the size of Congress could limit campaign spending”, Andrew W. Cohen, CNN.com Law Center, 30-June-2000; Link to article

“Want to be more efficient? Increase number of politicians”, Jonah Goldberg, Jewish World Review, 4-January-2001; Link to article  

“Why not have 1000 Congressman?”, George Will, Townhall, 14-January-2001;
 Link to article

“Constituency Size and Incumbent Safety: A Reexamination”, Edward L. Lascher, Political Research Quarterly, Vol. 58, No. 2. (Jun., 2005), pp. 269-278.; Please right-button click on link to download article.

“The People’s Perspective on the Size of the People’s House”, Brian Frederick,, PSOnline, April 2008, pp. 329-335.; Please right-button click on link to download article.
 

 
The Size of the U. S. House of Representatives and its Constituent State Delegations Authorized Number of Seats by Year and by Congress 1789 to 2006
July 15, 2006; Quantitative Historical Analysis #2

The Minimum and Maximum Size of the U. S. House of Representatives
Per the Constitution and pursuant to all three versions of the proposed “Article the first”
June 24, 2007; Quantitative Historical Analysis #4

Additional reports from TTO are available at Quantitative Historical Analyses of the House of Representatives.